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Finding the Fourth Proportional to 499.03, 747.72 and 306.25

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Solution

The fourth proportional to 499.03, 747.72 and 306.25 is: 458.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.03 : 747.72 = 306.25 : x
  2. Step 2: Convert to fraction form
    499.03/747.72 = 306.25/x
  3. Step 3: Cross multiply
    499.03x = 747.72 × 306.25
  4. Step 4: Simplify right side
    499.03x = 228,989.25
  5. Step 5: Solve for x
    x = 228,989.25/499.03
  6. Step 6: Final answer
    x = 458.87

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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.