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Finding the Fourth Proportional to 187.47, 258.66 and 174.42

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Solution

The fourth proportional to 187.47, 258.66 and 174.42 is: 240.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.47 : 258.66 = 174.42 : x
  2. Step 2: Convert to fraction form
    187.47/258.66 = 174.42/x
  3. Step 3: Cross multiply
    187.47x = 258.66 × 174.42
  4. Step 4: Simplify right side
    187.47x = 45,115.48
  5. Step 5: Solve for x
    x = 45,115.48/187.47
  6. Step 6: Final answer
    x = 240.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.