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Finding the Fourth Proportional to 169.75, 253.08 and 159.42

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Solution

The fourth proportional to 169.75, 253.08 and 159.42 is: 237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.75 : 253.08 = 159.42 : x
  2. Step 2: Convert to fraction form
    169.75/253.08 = 159.42/x
  3. Step 3: Cross multiply
    169.75x = 253.08 × 159.42
  4. Step 4: Simplify right side
    169.75x = 40,346.01
  5. Step 5: Solve for x
    x = 40,346.01/169.75
  6. Step 6: Final answer
    x = 237.68

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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.