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Finding the Fourth Proportional to 499.24, 748.34 and 279.81

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Solution

The fourth proportional to 499.24, 748.34 and 279.81 is: 419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.24 : 748.34 = 279.81 : x
  2. Step 2: Convert to fraction form
    499.24/748.34 = 279.81/x
  3. Step 3: Cross multiply
    499.24x = 748.34 × 279.81
  4. Step 4: Simplify right side
    499.24x = 209,393.02
  5. Step 5: Solve for x
    x = 209,393.02/499.24
  6. Step 6: Final answer
    x = 419.42

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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.