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Finding the Fourth Proportional to 499.18, 749.20 and 337.06

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Solution

The fourth proportional to 499.18, 749.20 and 337.06 is: 505.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.18 : 749.20 = 337.06 : x
  2. Step 2: Convert to fraction form
    499.18/749.20 = 337.06/x
  3. Step 3: Cross multiply
    499.18x = 749.20 × 337.06
  4. Step 4: Simplify right side
    499.18x = 252,525.35
  5. Step 5: Solve for x
    x = 252,525.35/499.18
  6. Step 6: Final answer
    x = 505.88

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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.