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Finding the Fourth Proportional to 169, 252.35 and 138.49

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Solution

The fourth proportional to 169, 252.35 and 138.49 is: 206.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    169 : 252.35 = 138.49 : x
  2. Step 2: Convert to fraction form
    169/252.35 = 138.49/x
  3. Step 3: Cross multiply
    169x = 252.35 × 138.49
  4. Step 4: Simplify right side
    169x = 34,947.95
  5. Step 5: Solve for x
    x = 34,947.95/169
  6. Step 6: Final answer
    x = 206.79

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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.