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Finding the Fourth Proportional to 187.31, 258.47 and 104.39

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Solution

The fourth proportional to 187.31, 258.47 and 104.39 is: 144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.31 : 258.47 = 104.39 : x
  2. Step 2: Convert to fraction form
    187.31/258.47 = 104.39/x
  3. Step 3: Cross multiply
    187.31x = 258.47 × 104.39
  4. Step 4: Simplify right side
    187.31x = 26,979.87
  5. Step 5: Solve for x
    x = 26,979.87/187.31
  6. Step 6: Final answer
    x = 144.04

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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.