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Finding the Fourth Proportional to 439.52, 658.32 and 222.64

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Solution

The fourth proportional to 439.52, 658.32 and 222.64 is: 333.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.52 : 658.32 = 222.64 : x
  2. Step 2: Convert to fraction form
    439.52/658.32 = 222.64/x
  3. Step 3: Cross multiply
    439.52x = 658.32 × 222.64
  4. Step 4: Simplify right side
    439.52x = 146,568.36
  5. Step 5: Solve for x
    x = 146,568.36/439.52
  6. Step 6: Final answer
    x = 333.47

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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.