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Finding the Fourth Proportional to 439.83, 658.66 and 285.28

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Solution

The fourth proportional to 439.83, 658.66 and 285.28 is: 427.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.83 : 658.66 = 285.28 : x
  2. Step 2: Convert to fraction form
    439.83/658.66 = 285.28/x
  3. Step 3: Cross multiply
    439.83x = 658.66 × 285.28
  4. Step 4: Simplify right side
    439.83x = 187,902.52
  5. Step 5: Solve for x
    x = 187,902.52/439.83
  6. Step 6: Final answer
    x = 427.22

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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.