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Finding the Fourth Proportional to 494.62, 742.04 and 147.96

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Solution

The fourth proportional to 494.62, 742.04 and 147.96 is: 221.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.62 : 742.04 = 147.96 : x
  2. Step 2: Convert to fraction form
    494.62/742.04 = 147.96/x
  3. Step 3: Cross multiply
    494.62x = 742.04 × 147.96
  4. Step 4: Simplify right side
    494.62x = 109,792.24
  5. Step 5: Solve for x
    x = 109,792.24/494.62
  6. Step 6: Final answer
    x = 221.97

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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.