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Finding the Fourth Proportional to 171.24, 256.59 and 127.70

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Solution

The fourth proportional to 171.24, 256.59 and 127.70 is: 191.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.24 : 256.59 = 127.70 : x
  2. Step 2: Convert to fraction form
    171.24/256.59 = 127.70/x
  3. Step 3: Cross multiply
    171.24x = 256.59 × 127.70
  4. Step 4: Simplify right side
    171.24x = 32,767.30
  5. Step 5: Solve for x
    x = 32,767.30/171.24
  6. Step 6: Final answer
    x = 191.35

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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.