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Finding the Fourth Proportional to 169.75, 253.21 and 166.96

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Solution

The fourth proportional to 169.75, 253.21 and 166.96 is: 249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.75 : 253.21 = 166.96 : x
  2. Step 2: Convert to fraction form
    169.75/253.21 = 166.96/x
  3. Step 3: Cross multiply
    169.75x = 253.21 × 166.96
  4. Step 4: Simplify right side
    169.75x = 42,275.94
  5. Step 5: Solve for x
    x = 42,275.94/169.75
  6. Step 6: Final answer
    x = 249.05

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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.