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Finding the Fourth Proportional to 404.38, 606.57 and 147.88

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Solution

The fourth proportional to 404.38, 606.57 and 147.88 is: 221.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.38 : 606.57 = 147.88 : x
  2. Step 2: Convert to fraction form
    404.38/606.57 = 147.88/x
  3. Step 3: Cross multiply
    404.38x = 606.57 × 147.88
  4. Step 4: Simplify right side
    404.38x = 89,699.57
  5. Step 5: Solve for x
    x = 89,699.57/404.38
  6. Step 6: Final answer
    x = 221.82

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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.