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Finding the Fourth Proportional to 137.17, 190.27 and 129.88

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Solution

The fourth proportional to 137.17, 190.27 and 129.88 is: 180.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.17 : 190.27 = 129.88 : x
  2. Step 2: Convert to fraction form
    137.17/190.27 = 129.88/x
  3. Step 3: Cross multiply
    137.17x = 190.27 × 129.88
  4. Step 4: Simplify right side
    137.17x = 24,712.27
  5. Step 5: Solve for x
    x = 24,712.27/137.17
  6. Step 6: Final answer
    x = 180.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.