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Finding the Fourth Proportional to 187.20, 258.61 and 148.12

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Solution

The fourth proportional to 187.20, 258.61 and 148.12 is: 204.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.20 : 258.61 = 148.12 : x
  2. Step 2: Convert to fraction form
    187.20/258.61 = 148.12/x
  3. Step 3: Cross multiply
    187.20x = 258.61 × 148.12
  4. Step 4: Simplify right side
    187.20x = 38,305.31
  5. Step 5: Solve for x
    x = 38,305.31/187.20
  6. Step 6: Final answer
    x = 204.62

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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.