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Finding the Fourth Proportional to 171.58, 255.52 and 167.32

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Solution

The fourth proportional to 171.58, 255.52 and 167.32 is: 249.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.58 : 255.52 = 167.32 : x
  2. Step 2: Convert to fraction form
    171.58/255.52 = 167.32/x
  3. Step 3: Cross multiply
    171.58x = 255.52 × 167.32
  4. Step 4: Simplify right side
    171.58x = 42,753.61
  5. Step 5: Solve for x
    x = 42,753.61/171.58
  6. Step 6: Final answer
    x = 249.18

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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.