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Finding the Fourth Proportional to 169.82, 254.48 and 101.21

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Solution

The fourth proportional to 169.82, 254.48 and 101.21 is: 151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.82 : 254.48 = 101.21 : x
  2. Step 2: Convert to fraction form
    169.82/254.48 = 101.21/x
  3. Step 3: Cross multiply
    169.82x = 254.48 × 101.21
  4. Step 4: Simplify right side
    169.82x = 25,756.05
  5. Step 5: Solve for x
    x = 25,756.05/169.82
  6. Step 6: Final answer
    x = 151.66

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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.