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Finding the Fourth Proportional to 499.02, 747.90 and 225.03

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Solution

The fourth proportional to 499.02, 747.90 and 225.03 is: 337.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.02 : 747.90 = 225.03 : x
  2. Step 2: Convert to fraction form
    499.02/747.90 = 225.03/x
  3. Step 3: Cross multiply
    499.02x = 747.90 × 225.03
  4. Step 4: Simplify right side
    499.02x = 168,299.94
  5. Step 5: Solve for x
    x = 168,299.94/499.02
  6. Step 6: Final answer
    x = 337.26

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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.