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Finding the Fourth Proportional to 278.98, 382.87 and 256.90

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Solution

The fourth proportional to 278.98, 382.87 and 256.90 is: 352.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.98 : 382.87 = 256.90 : x
  2. Step 2: Convert to fraction form
    278.98/382.87 = 256.90/x
  3. Step 3: Cross multiply
    278.98x = 382.87 × 256.90
  4. Step 4: Simplify right side
    278.98x = 98,359.30
  5. Step 5: Solve for x
    x = 98,359.30/278.98
  6. Step 6: Final answer
    x = 352.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.