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Finding the Fourth Proportional to 439, 658.50 and 150.46

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Solution

The fourth proportional to 439, 658.50 and 150.46 is: 225.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    439 : 658.50 = 150.46 : x
  2. Step 2: Convert to fraction form
    439/658.50 = 150.46/x
  3. Step 3: Cross multiply
    439x = 658.50 × 150.46
  4. Step 4: Simplify right side
    439x = 99,077.91
  5. Step 5: Solve for x
    x = 99,077.91/439
  6. Step 6: Final answer
    x = 225.69

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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.