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Finding the Fourth Proportional to 510.19, 704.06 and 277.31

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Solution

The fourth proportional to 510.19, 704.06 and 277.31 is: 382.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.19 : 704.06 = 277.31 : x
  2. Step 2: Convert to fraction form
    510.19/704.06 = 277.31/x
  3. Step 3: Cross multiply
    510.19x = 704.06 × 277.31
  4. Step 4: Simplify right side
    510.19x = 195,245.33
  5. Step 5: Solve for x
    x = 195,245.33/510.19
  6. Step 6: Final answer
    x = 382.69

Related Problems

Find fourth proportional to 255.09, 352.03 and 138.66
Half scale
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Double scale
Find fourth proportional to 511.19, 705.44 and 278.31
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.