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Finding the Fourth Proportional to 187.25, 258.88 and 140.86

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Solution

The fourth proportional to 187.25, 258.88 and 140.86 is: 194.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.25 : 258.88 = 140.86 : x
  2. Step 2: Convert to fraction form
    187.25/258.88 = 140.86/x
  3. Step 3: Cross multiply
    187.25x = 258.88 × 140.86
  4. Step 4: Simplify right side
    187.25x = 36,464.62
  5. Step 5: Solve for x
    x = 36,464.62/187.25
  6. Step 6: Final answer
    x = 194.74

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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.