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Finding the Fourth Proportional to 137.20, 204.74 and 113.20

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Solution

The fourth proportional to 137.20, 204.74 and 113.20 is: 168.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.20 : 204.74 = 113.20 : x
  2. Step 2: Convert to fraction form
    137.20/204.74 = 113.20/x
  3. Step 3: Cross multiply
    137.20x = 204.74 × 113.20
  4. Step 4: Simplify right side
    137.20x = 23,176.57
  5. Step 5: Solve for x
    x = 23,176.57/137.20
  6. Step 6: Final answer
    x = 168.93

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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.