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Finding the Fourth Proportional to 169.72, 252.95 and 137.08

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Solution

The fourth proportional to 169.72, 252.95 and 137.08 is: 204.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.72 : 252.95 = 137.08 : x
  2. Step 2: Convert to fraction form
    169.72/252.95 = 137.08/x
  3. Step 3: Cross multiply
    169.72x = 252.95 × 137.08
  4. Step 4: Simplify right side
    169.72x = 34,674.39
  5. Step 5: Solve for x
    x = 34,674.39/169.72
  6. Step 6: Final answer
    x = 204.30

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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.