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Finding the Fourth Proportional to 187.06, 258.10 and 140.54

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Solution

The fourth proportional to 187.06, 258.10 and 140.54 is: 193.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.06 : 258.10 = 140.54 : x
  2. Step 2: Convert to fraction form
    187.06/258.10 = 140.54/x
  3. Step 3: Cross multiply
    187.06x = 258.10 × 140.54
  4. Step 4: Simplify right side
    187.06x = 36,273.91
  5. Step 5: Solve for x
    x = 36,273.91/187.06
  6. Step 6: Final answer
    x = 193.92

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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.