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Finding the Fourth Proportional to 439.13, 657.82 and 292.43

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Solution

The fourth proportional to 439.13, 657.82 and 292.43 is: 438.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.13 : 657.82 = 292.43 : x
  2. Step 2: Convert to fraction form
    439.13/657.82 = 292.43/x
  3. Step 3: Cross multiply
    439.13x = 657.82 × 292.43
  4. Step 4: Simplify right side
    439.13x = 192,366.30
  5. Step 5: Solve for x
    x = 192,366.30/439.13
  6. Step 6: Final answer
    x = 438.06

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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.