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Finding the Fourth Proportional to 169.42, 252.46 and 159.82

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Solution

The fourth proportional to 169.42, 252.46 and 159.82 is: 238.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.42 : 252.46 = 159.82 : x
  2. Step 2: Convert to fraction form
    169.42/252.46 = 159.82/x
  3. Step 3: Cross multiply
    169.42x = 252.46 × 159.82
  4. Step 4: Simplify right side
    169.42x = 40,347.36
  5. Step 5: Solve for x
    x = 40,347.36/169.42
  6. Step 6: Final answer
    x = 238.15

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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.