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Finding the Fourth Proportional to 252.31, 379.83 and 180.67

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Solution

The fourth proportional to 252.31, 379.83 and 180.67 is: 271.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.31 : 379.83 = 180.67 : x
  2. Step 2: Convert to fraction form
    252.31/379.83 = 180.67/x
  3. Step 3: Cross multiply
    252.31x = 379.83 × 180.67
  4. Step 4: Simplify right side
    252.31x = 68,623.89
  5. Step 5: Solve for x
    x = 68,623.89/252.31
  6. Step 6: Final answer
    x = 271.98

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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.