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Finding the Fourth Proportional to 171.72, 257.28 and 94.67

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Solution

The fourth proportional to 171.72, 257.28 and 94.67 is: 141.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.72 : 257.28 = 94.67 : x
  2. Step 2: Convert to fraction form
    171.72/257.28 = 94.67/x
  3. Step 3: Cross multiply
    171.72x = 257.28 × 94.67
  4. Step 4: Simplify right side
    171.72x = 24,356.02
  5. Step 5: Solve for x
    x = 24,356.02/171.72
  6. Step 6: Final answer
    x = 141.84

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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.