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Finding the Fourth Proportional to 532.56, 735.40 and 358.41

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Solution

The fourth proportional to 532.56, 735.40 and 358.41 is: 494.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.56 : 735.40 = 358.41 : x
  2. Step 2: Convert to fraction form
    532.56/735.40 = 358.41/x
  3. Step 3: Cross multiply
    532.56x = 735.40 × 358.41
  4. Step 4: Simplify right side
    532.56x = 263,572.92
  5. Step 5: Solve for x
    x = 263,572.92/532.56
  6. Step 6: Final answer
    x = 494.92

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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.