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Finding the Fourth Proportional to 510.90, 766.47 and 237.18

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Solution

The fourth proportional to 510.90, 766.47 and 237.18 is: 355.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.90 : 766.47 = 237.18 : x
  2. Step 2: Convert to fraction form
    510.90/766.47 = 237.18/x
  3. Step 3: Cross multiply
    510.90x = 766.47 × 237.18
  4. Step 4: Simplify right side
    510.90x = 181,791.35
  5. Step 5: Solve for x
    x = 181,791.35/510.90
  6. Step 6: Final answer
    x = 355.83

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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.