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Finding the Fourth Proportional to 137.18, 204.95 and 112.88

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Solution

The fourth proportional to 137.18, 204.95 and 112.88 is: 168.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.18 : 204.95 = 112.88 : x
  2. Step 2: Convert to fraction form
    137.18/204.95 = 112.88/x
  3. Step 3: Cross multiply
    137.18x = 204.95 × 112.88
  4. Step 4: Simplify right side
    137.18x = 23,133.17
  5. Step 5: Solve for x
    x = 23,133.17/137.18
  6. Step 6: Final answer
    x = 168.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.