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Finding the Fourth Proportional to 171.36, 256.53 and 142.20

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Solution

The fourth proportional to 171.36, 256.53 and 142.20 is: 212.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.36 : 256.53 = 142.20 : x
  2. Step 2: Convert to fraction form
    171.36/256.53 = 142.20/x
  3. Step 3: Cross multiply
    171.36x = 256.53 × 142.20
  4. Step 4: Simplify right side
    171.36x = 36,478.57
  5. Step 5: Solve for x
    x = 36,478.57/171.36
  6. Step 6: Final answer
    x = 212.88

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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.