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Finding the Fourth Proportional to 439.31, 658.86 and 208.14

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Solution

The fourth proportional to 439.31, 658.86 and 208.14 is: 312.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.31 : 658.86 = 208.14 : x
  2. Step 2: Convert to fraction form
    439.31/658.86 = 208.14/x
  3. Step 3: Cross multiply
    439.31x = 658.86 × 208.14
  4. Step 4: Simplify right side
    439.31x = 137,135.12
  5. Step 5: Solve for x
    x = 137,135.12/439.31
  6. Step 6: Final answer
    x = 312.16

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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.