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Finding the Fourth Proportional to 499.22, 748.82 and 353.14

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Solution

The fourth proportional to 499.22, 748.82 and 353.14 is: 529.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.22 : 748.82 = 353.14 : x
  2. Step 2: Convert to fraction form
    499.22/748.82 = 353.14/x
  3. Step 3: Cross multiply
    499.22x = 748.82 × 353.14
  4. Step 4: Simplify right side
    499.22x = 264,438.29
  5. Step 5: Solve for x
    x = 264,438.29/499.22
  6. Step 6: Final answer
    x = 529.70

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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.