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Finding the Fourth Proportional to 278.92, 385.26 and 214.21

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Solution

The fourth proportional to 278.92, 385.26 and 214.21 is: 295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.92 : 385.26 = 214.21 : x
  2. Step 2: Convert to fraction form
    278.92/385.26 = 214.21/x
  3. Step 3: Cross multiply
    278.92x = 385.26 × 214.21
  4. Step 4: Simplify right side
    278.92x = 82,526.54
  5. Step 5: Solve for x
    x = 82,526.54/278.92
  6. Step 6: Final answer
    x = 295.88

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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.