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Finding the Fourth Proportional to 187.34, 281.01 and 76.17

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Solution

The fourth proportional to 187.34, 281.01 and 76.17 is: 114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.34 : 281.01 = 76.17 : x
  2. Step 2: Convert to fraction form
    187.34/281.01 = 76.17/x
  3. Step 3: Cross multiply
    187.34x = 281.01 × 76.17
  4. Step 4: Simplify right side
    187.34x = 21,402.96
  5. Step 5: Solve for x
    x = 21,402.96/187.34
  6. Step 6: Final answer
    x = 114.25

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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.