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Finding the Fourth Proportional to 439.18, 658.78 and 146.68

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Solution

The fourth proportional to 439.18, 658.78 and 146.68 is: 220.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.18 : 658.78 = 146.68 : x
  2. Step 2: Convert to fraction form
    439.18/658.78 = 146.68/x
  3. Step 3: Cross multiply
    439.18x = 658.78 × 146.68
  4. Step 4: Simplify right side
    439.18x = 96,629.85
  5. Step 5: Solve for x
    x = 96,629.85/439.18
  6. Step 6: Final answer
    x = 220.02

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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.