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Finding the Fourth Proportional to 137.25, 204.72 and 115.71

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Solution

The fourth proportional to 137.25, 204.72 and 115.71 is: 172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.25 : 204.72 = 115.71 : x
  2. Step 2: Convert to fraction form
    137.25/204.72 = 115.71/x
  3. Step 3: Cross multiply
    137.25x = 204.72 × 115.71
  4. Step 4: Simplify right side
    137.25x = 23,688.15
  5. Step 5: Solve for x
    x = 23,688.15/137.25
  6. Step 6: Final answer
    x = 172.59

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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.