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Finding the Fourth Proportional to 180.72, 271.02 and 57.29

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Solution

The fourth proportional to 180.72, 271.02 and 57.29 is: 85.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.72 : 271.02 = 57.29 : x
  2. Step 2: Convert to fraction form
    180.72/271.02 = 57.29/x
  3. Step 3: Cross multiply
    180.72x = 271.02 × 57.29
  4. Step 4: Simplify right side
    180.72x = 15,525.38
  5. Step 5: Solve for x
    x = 15,525.38/180.72
  6. Step 6: Final answer
    x = 85.91

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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.