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Finding the Fourth Proportional to 510.97, 766.10 and 236.91

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Solution

The fourth proportional to 510.97, 766.10 and 236.91 is: 355.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.97 : 766.10 = 236.91 : x
  2. Step 2: Convert to fraction form
    510.97/766.10 = 236.91/x
  3. Step 3: Cross multiply
    510.97x = 766.10 × 236.91
  4. Step 4: Simplify right side
    510.97x = 181,496.75
  5. Step 5: Solve for x
    x = 181,496.75/510.97
  6. Step 6: Final answer
    x = 355.20

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Double scale
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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.