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Finding the Fourth Proportional to 169.57, 252.84 and 169.35

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Solution

The fourth proportional to 169.57, 252.84 and 169.35 is: 252.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.57 : 252.84 = 169.35 : x
  2. Step 2: Convert to fraction form
    169.57/252.84 = 169.35/x
  3. Step 3: Cross multiply
    169.57x = 252.84 × 169.35
  4. Step 4: Simplify right side
    169.57x = 42,818.45
  5. Step 5: Solve for x
    x = 42,818.45/169.57
  6. Step 6: Final answer
    x = 252.51

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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.