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Finding the Fourth Proportional to 171.32, 257.21 and 147.11

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Solution

The fourth proportional to 171.32, 257.21 and 147.11 is: 220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.32 : 257.21 = 147.11 : x
  2. Step 2: Convert to fraction form
    171.32/257.21 = 147.11/x
  3. Step 3: Cross multiply
    171.32x = 257.21 × 147.11
  4. Step 4: Simplify right side
    171.32x = 37,836.42
  5. Step 5: Solve for x
    x = 37,836.42/171.32
  6. Step 6: Final answer
    x = 220.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.