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Finding the Fourth Proportional to 187.72, 281.10 and 171.40

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Solution

The fourth proportional to 187.72, 281.10 and 171.40 is: 256.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.72 : 281.10 = 171.40 : x
  2. Step 2: Convert to fraction form
    187.72/281.10 = 171.40/x
  3. Step 3: Cross multiply
    187.72x = 281.10 × 171.40
  4. Step 4: Simplify right side
    187.72x = 48,180.54
  5. Step 5: Solve for x
    x = 48,180.54/187.72
  6. Step 6: Final answer
    x = 256.66

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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.