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Finding the Fourth Proportional to 499.23, 748.94 and 147.84

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Solution

The fourth proportional to 499.23, 748.94 and 147.84 is: 221.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.23 : 748.94 = 147.84 : x
  2. Step 2: Convert to fraction form
    499.23/748.94 = 147.84/x
  3. Step 3: Cross multiply
    499.23x = 748.94 × 147.84
  4. Step 4: Simplify right side
    499.23x = 110,722.55
  5. Step 5: Solve for x
    x = 110,722.55/499.23
  6. Step 6: Final answer
    x = 221.79

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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.