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Finding the Fourth Proportional to 169.80, 254.52 and 137.67

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Solution

The fourth proportional to 169.80, 254.52 and 137.67 is: 206.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.80 : 254.52 = 137.67 : x
  2. Step 2: Convert to fraction form
    169.80/254.52 = 137.67/x
  3. Step 3: Cross multiply
    169.80x = 254.52 × 137.67
  4. Step 4: Simplify right side
    169.80x = 35,039.77
  5. Step 5: Solve for x
    x = 35,039.77/169.80
  6. Step 6: Final answer
    x = 206.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.