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Finding the Fourth Proportional to 500.22, 748.71 and 353.61

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Solution

The fourth proportional to 500.22, 748.71 and 353.61 is: 529.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.22 : 748.71 = 353.61 : x
  2. Step 2: Convert to fraction form
    500.22/748.71 = 353.61/x
  3. Step 3: Cross multiply
    500.22x = 748.71 × 353.61
  4. Step 4: Simplify right side
    500.22x = 264,751.34
  5. Step 5: Solve for x
    x = 264,751.34/500.22
  6. Step 6: Final answer
    x = 529.27

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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.