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Finding the Fourth Proportional to 171.28, 257 and 75.20

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Solution

The fourth proportional to 171.28, 257 and 75.20 is: 112.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.28 : 257 = 75.20 : x
  2. Step 2: Convert to fraction form
    171.28/257 = 75.20/x
  3. Step 3: Cross multiply
    171.28x = 257 × 75.20
  4. Step 4: Simplify right side
    171.28x = 19,326.40
  5. Step 5: Solve for x
    x = 19,326.40/171.28
  6. Step 6: Final answer
    x = 112.84

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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.