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Finding the Fourth Proportional to 510.93, 766.44 and 186.32

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Solution

The fourth proportional to 510.93, 766.44 and 186.32 is: 279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.93 : 766.44 = 186.32 : x
  2. Step 2: Convert to fraction form
    510.93/766.44 = 186.32/x
  3. Step 3: Cross multiply
    510.93x = 766.44 × 186.32
  4. Step 4: Simplify right side
    510.93x = 142,803.10
  5. Step 5: Solve for x
    x = 142,803.10/510.93
  6. Step 6: Final answer
    x = 279.50

Related Problems

Find fourth proportional to 255.47, 383.22 and 93.16
Half scale
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Double scale
Find fourth proportional to 511.93, 767.94 and 187.32
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.