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Finding the Fourth Proportional to 187.60, 258.78 and 113.92

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Solution

The fourth proportional to 187.60, 258.78 and 113.92 is: 157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.60 : 258.78 = 113.92 : x
  2. Step 2: Convert to fraction form
    187.60/258.78 = 113.92/x
  3. Step 3: Cross multiply
    187.60x = 258.78 × 113.92
  4. Step 4: Simplify right side
    187.60x = 29,480.22
  5. Step 5: Solve for x
    x = 29,480.22/187.60
  6. Step 6: Final answer
    x = 157.14

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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.