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Finding the Fourth Proportional to 187.33, 258.42 and 120.92

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Solution

The fourth proportional to 187.33, 258.42 and 120.92 is: 166.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.33 : 258.42 = 120.92 : x
  2. Step 2: Convert to fraction form
    187.33/258.42 = 120.92/x
  3. Step 3: Cross multiply
    187.33x = 258.42 × 120.92
  4. Step 4: Simplify right side
    187.33x = 31,248.15
  5. Step 5: Solve for x
    x = 31,248.15/187.33
  6. Step 6: Final answer
    x = 166.81

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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.