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Finding the Fourth Proportional to 499.04, 747.68 and 306.24

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Solution

The fourth proportional to 499.04, 747.68 and 306.24 is: 458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.04 : 747.68 = 306.24 : x
  2. Step 2: Convert to fraction form
    499.04/747.68 = 306.24/x
  3. Step 3: Cross multiply
    499.04x = 747.68 × 306.24
  4. Step 4: Simplify right side
    499.04x = 228,969.52
  5. Step 5: Solve for x
    x = 228,969.52/499.04
  6. Step 6: Final answer
    x = 458.82

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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.