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Finding the Fourth Proportional to 278.40, 384.17 and 167.84

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Solution

The fourth proportional to 278.40, 384.17 and 167.84 is: 231.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.40 : 384.17 = 167.84 : x
  2. Step 2: Convert to fraction form
    278.40/384.17 = 167.84/x
  3. Step 3: Cross multiply
    278.40x = 384.17 × 167.84
  4. Step 4: Simplify right side
    278.40x = 64,476.33
  5. Step 5: Solve for x
    x = 64,476.33/278.40
  6. Step 6: Final answer
    x = 231.60

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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.