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Finding the Fourth Proportional to 278.46, 386.33 and 267.18

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Solution

The fourth proportional to 278.46, 386.33 and 267.18 is: 370.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.46 : 386.33 = 267.18 : x
  2. Step 2: Convert to fraction form
    278.46/386.33 = 267.18/x
  3. Step 3: Cross multiply
    278.46x = 386.33 × 267.18
  4. Step 4: Simplify right side
    278.46x = 103,218.31
  5. Step 5: Solve for x
    x = 103,218.31/278.46
  6. Step 6: Final answer
    x = 370.68

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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.