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Finding the Fourth Proportional to 278.96, 385.34 and 205.69

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Solution

The fourth proportional to 278.96, 385.34 and 205.69 is: 284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.96 : 385.34 = 205.69 : x
  2. Step 2: Convert to fraction form
    278.96/385.34 = 205.69/x
  3. Step 3: Cross multiply
    278.96x = 385.34 × 205.69
  4. Step 4: Simplify right side
    278.96x = 79,260.58
  5. Step 5: Solve for x
    x = 79,260.58/278.96
  6. Step 6: Final answer
    x = 284.13

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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.