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Finding the Fourth Proportional to 438.43, 656.85 and 255.52

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Solution

The fourth proportional to 438.43, 656.85 and 255.52 is: 382.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.43 : 656.85 = 255.52 : x
  2. Step 2: Convert to fraction form
    438.43/656.85 = 255.52/x
  3. Step 3: Cross multiply
    438.43x = 656.85 × 255.52
  4. Step 4: Simplify right side
    438.43x = 167,838.31
  5. Step 5: Solve for x
    x = 167,838.31/438.43
  6. Step 6: Final answer
    x = 382.82

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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.