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Finding the Fourth Proportional to 439.18, 658.71 and 114.57

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Solution

The fourth proportional to 439.18, 658.71 and 114.57 is: 171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.18 : 658.71 = 114.57 : x
  2. Step 2: Convert to fraction form
    439.18/658.71 = 114.57/x
  3. Step 3: Cross multiply
    439.18x = 658.71 × 114.57
  4. Step 4: Simplify right side
    439.18x = 75,468.40
  5. Step 5: Solve for x
    x = 75,468.40/439.18
  6. Step 6: Final answer
    x = 171.84

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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.