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Finding the Fourth Proportional to 185.46, 256.17 and 159.49

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Solution

The fourth proportional to 185.46, 256.17 and 159.49 is: 220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.46 : 256.17 = 159.49 : x
  2. Step 2: Convert to fraction form
    185.46/256.17 = 159.49/x
  3. Step 3: Cross multiply
    185.46x = 256.17 × 159.49
  4. Step 4: Simplify right side
    185.46x = 40,856.55
  5. Step 5: Solve for x
    x = 40,856.55/185.46
  6. Step 6: Final answer
    x = 220.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.