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Finding the Fourth Proportional to 135.88, 187.65 and 127.17

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Solution

The fourth proportional to 135.88, 187.65 and 127.17 is: 175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.88 : 187.65 = 127.17 : x
  2. Step 2: Convert to fraction form
    135.88/187.65 = 127.17/x
  3. Step 3: Cross multiply
    135.88x = 187.65 × 127.17
  4. Step 4: Simplify right side
    135.88x = 23,863.45
  5. Step 5: Solve for x
    x = 23,863.45/135.88
  6. Step 6: Final answer
    x = 175.62

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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.