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Finding the Fourth Proportional to 282.54, 391.67 and 267.72

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Solution

The fourth proportional to 282.54, 391.67 and 267.72 is: 371.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.54 : 391.67 = 267.72 : x
  2. Step 2: Convert to fraction form
    282.54/391.67 = 267.72/x
  3. Step 3: Cross multiply
    282.54x = 391.67 × 267.72
  4. Step 4: Simplify right side
    282.54x = 104,857.89
  5. Step 5: Solve for x
    x = 104,857.89/282.54
  6. Step 6: Final answer
    x = 371.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.