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Finding the Fourth Proportional to 187, 258.08 and 121.48

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Solution

The fourth proportional to 187, 258.08 and 121.48 is: 167.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    187 : 258.08 = 121.48 : x
  2. Step 2: Convert to fraction form
    187/258.08 = 121.48/x
  3. Step 3: Cross multiply
    187x = 258.08 × 121.48
  4. Step 4: Simplify right side
    187x = 31,351.56
  5. Step 5: Solve for x
    x = 31,351.56/187
  6. Step 6: Final answer
    x = 167.66

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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.