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Finding the Fourth Proportional to 171.10, 256.26 and 89.74

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Solution

The fourth proportional to 171.10, 256.26 and 89.74 is: 134.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.10 : 256.26 = 89.74 : x
  2. Step 2: Convert to fraction form
    171.10/256.26 = 89.74/x
  3. Step 3: Cross multiply
    171.10x = 256.26 × 89.74
  4. Step 4: Simplify right side
    171.10x = 22,996.77
  5. Step 5: Solve for x
    x = 22,996.77/171.10
  6. Step 6: Final answer
    x = 134.41

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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.