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Finding the Fourth Proportional to 171.45, 256.23 and 135

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Solution

The fourth proportional to 171.45, 256.23 and 135 is: 201.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.45 : 256.23 = 135 : x
  2. Step 2: Convert to fraction form
    171.45/256.23 = 135/x
  3. Step 3: Cross multiply
    171.45x = 256.23 × 135
  4. Step 4: Simplify right side
    171.45x = 34,591.05
  5. Step 5: Solve for x
    x = 34,591.05/171.45
  6. Step 6: Final answer
    x = 201.76

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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.