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Finding the Fourth Proportional to 171.53, 256.75 and 113.62

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Solution

The fourth proportional to 171.53, 256.75 and 113.62 is: 170.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.53 : 256.75 = 113.62 : x
  2. Step 2: Convert to fraction form
    171.53/256.75 = 113.62/x
  3. Step 3: Cross multiply
    171.53x = 256.75 × 113.62
  4. Step 4: Simplify right side
    171.53x = 29,171.94
  5. Step 5: Solve for x
    x = 29,171.94/171.53
  6. Step 6: Final answer
    x = 170.07

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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.