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Finding the Fourth Proportional to 278.31, 384.09 and 167.78

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Solution

The fourth proportional to 278.31, 384.09 and 167.78 is: 231.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.31 : 384.09 = 167.78 : x
  2. Step 2: Convert to fraction form
    278.31/384.09 = 167.78/x
  3. Step 3: Cross multiply
    278.31x = 384.09 × 167.78
  4. Step 4: Simplify right side
    278.31x = 64,443.90
  5. Step 5: Solve for x
    x = 64,443.90/278.31
  6. Step 6: Final answer
    x = 231.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.