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Finding the Fourth Proportional to 180.31, 271.72 and 180.31

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Solution

The fourth proportional to 180.31, 271.72 and 180.31 is: 271.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.31 : 271.72 = 180.31 : x
  2. Step 2: Convert to fraction form
    180.31/271.72 = 180.31/x
  3. Step 3: Cross multiply
    180.31x = 271.72 × 180.31
  4. Step 4: Simplify right side
    180.31x = 48,993.83
  5. Step 5: Solve for x
    x = 48,993.83/180.31
  6. Step 6: Final answer
    x = 271.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.