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Finding the Fourth Proportional to 187.25, 258.30 and 121.75

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Solution

The fourth proportional to 187.25, 258.30 and 121.75 is: 167.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.25 : 258.30 = 121.75 : x
  2. Step 2: Convert to fraction form
    187.25/258.30 = 121.75/x
  3. Step 3: Cross multiply
    187.25x = 258.30 × 121.75
  4. Step 4: Simplify right side
    187.25x = 31,447.38
  5. Step 5: Solve for x
    x = 31,447.38/187.25
  6. Step 6: Final answer
    x = 167.95

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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.