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Finding the Fourth Proportional to 171.88, 256.25 and 161.55

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Solution

The fourth proportional to 171.88, 256.25 and 161.55 is: 240.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.88 : 256.25 = 161.55 : x
  2. Step 2: Convert to fraction form
    171.88/256.25 = 161.55/x
  3. Step 3: Cross multiply
    171.88x = 256.25 × 161.55
  4. Step 4: Simplify right side
    171.88x = 41,397.19
  5. Step 5: Solve for x
    x = 41,397.19/171.88
  6. Step 6: Final answer
    x = 240.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.