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Finding the Fourth Proportional to 187.68, 281.56 and 78

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Solution

The fourth proportional to 187.68, 281.56 and 78 is: 117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.68 : 281.56 = 78 : x
  2. Step 2: Convert to fraction form
    187.68/281.56 = 78/x
  3. Step 3: Cross multiply
    187.68x = 281.56 × 78
  4. Step 4: Simplify right side
    187.68x = 21,961.68
  5. Step 5: Solve for x
    x = 21,961.68/187.68
  6. Step 6: Final answer
    x = 117.02

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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.