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Finding the Fourth Proportional to 510.07, 703.89 and 277.19

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Solution

The fourth proportional to 510.07, 703.89 and 277.19 is: 382.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.07 : 703.89 = 277.19 : x
  2. Step 2: Convert to fraction form
    510.07/703.89 = 277.19/x
  3. Step 3: Cross multiply
    510.07x = 703.89 × 277.19
  4. Step 4: Simplify right side
    510.07x = 195,109.88
  5. Step 5: Solve for x
    x = 195,109.88/510.07
  6. Step 6: Final answer
    x = 382.52

Related Problems

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Double scale
Find fourth proportional to 511.07, 705.26 and 278.19
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.