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Finding the Fourth Proportional to 169.47, 252.54 and 159.21

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Solution

The fourth proportional to 169.47, 252.54 and 159.21 is: 237.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.47 : 252.54 = 159.21 : x
  2. Step 2: Convert to fraction form
    169.47/252.54 = 159.21/x
  3. Step 3: Cross multiply
    169.47x = 252.54 × 159.21
  4. Step 4: Simplify right side
    169.47x = 40,206.89
  5. Step 5: Solve for x
    x = 40,206.89/169.47
  6. Step 6: Final answer
    x = 237.25

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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.