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Finding the Fourth Proportional to 532.13, 733.61 and 355.10

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Solution

The fourth proportional to 532.13, 733.61 and 355.10 is: 489.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.13 : 733.61 = 355.10 : x
  2. Step 2: Convert to fraction form
    532.13/733.61 = 355.10/x
  3. Step 3: Cross multiply
    532.13x = 733.61 × 355.10
  4. Step 4: Simplify right side
    532.13x = 260,502.13
  5. Step 5: Solve for x
    x = 260,502.13/532.13
  6. Step 6: Final answer
    x = 489.55

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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.