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Finding the Fourth Proportional to 171.08, 256.41 and 88.85

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Solution

The fourth proportional to 171.08, 256.41 and 88.85 is: 133.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.08 : 256.41 = 88.85 : x
  2. Step 2: Convert to fraction form
    171.08/256.41 = 88.85/x
  3. Step 3: Cross multiply
    171.08x = 256.41 × 88.85
  4. Step 4: Simplify right side
    171.08x = 22,782.03
  5. Step 5: Solve for x
    x = 22,782.03/171.08
  6. Step 6: Final answer
    x = 133.17

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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.