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Finding the Fourth Proportional to 408.72, 613.17 and 148.74

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Solution

The fourth proportional to 408.72, 613.17 and 148.74 is: 223.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.72 : 613.17 = 148.74 : x
  2. Step 2: Convert to fraction form
    408.72/613.17 = 148.74/x
  3. Step 3: Cross multiply
    408.72x = 613.17 × 148.74
  4. Step 4: Simplify right side
    408.72x = 91,202.91
  5. Step 5: Solve for x
    x = 91,202.91/408.72
  6. Step 6: Final answer
    x = 223.14

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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.