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Finding the Fourth Proportional to 187.68, 258.96 and 138.48

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Solution

The fourth proportional to 187.68, 258.96 and 138.48 is: 191.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.68 : 258.96 = 138.48 : x
  2. Step 2: Convert to fraction form
    187.68/258.96 = 138.48/x
  3. Step 3: Cross multiply
    187.68x = 258.96 × 138.48
  4. Step 4: Simplify right side
    187.68x = 35,860.78
  5. Step 5: Solve for x
    x = 35,860.78/187.68
  6. Step 6: Final answer
    x = 191.07

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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.