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Finding the Fourth Proportional to 137.71, 188.80 and 135.28

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Solution

The fourth proportional to 137.71, 188.80 and 135.28 is: 185.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.71 : 188.80 = 135.28 : x
  2. Step 2: Convert to fraction form
    137.71/188.80 = 135.28/x
  3. Step 3: Cross multiply
    137.71x = 188.80 × 135.28
  4. Step 4: Simplify right side
    137.71x = 25,540.86
  5. Step 5: Solve for x
    x = 25,540.86/137.71
  6. Step 6: Final answer
    x = 185.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.