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Finding the Fourth Proportional to 137.60, 188.80 and 129.60

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Solution

The fourth proportional to 137.60, 188.80 and 129.60 is: 177.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.60 : 188.80 = 129.60 : x
  2. Step 2: Convert to fraction form
    137.60/188.80 = 129.60/x
  3. Step 3: Cross multiply
    137.60x = 188.80 × 129.60
  4. Step 4: Simplify right side
    137.60x = 24,468.48
  5. Step 5: Solve for x
    x = 24,468.48/137.60
  6. Step 6: Final answer
    x = 177.82

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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.