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Finding the Fourth Proportional to 439.65, 658.86 and 165.47

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Solution

The fourth proportional to 439.65, 658.86 and 165.47 is: 247.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.65 : 658.86 = 165.47 : x
  2. Step 2: Convert to fraction form
    439.65/658.86 = 165.47/x
  3. Step 3: Cross multiply
    439.65x = 658.86 × 165.47
  4. Step 4: Simplify right side
    439.65x = 109,018.27
  5. Step 5: Solve for x
    x = 109,018.27/439.65
  6. Step 6: Final answer
    x = 247.97

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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.