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Finding the Fourth Proportional to 404, 606.20 and 147.68

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Solution

The fourth proportional to 404, 606.20 and 147.68 is: 221.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    404 : 606.20 = 147.68 : x
  2. Step 2: Convert to fraction form
    404/606.20 = 147.68/x
  3. Step 3: Cross multiply
    404x = 606.20 × 147.68
  4. Step 4: Simplify right side
    404x = 89,523.62
  5. Step 5: Solve for x
    x = 89,523.62/404
  6. Step 6: Final answer
    x = 221.59

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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.