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Finding the Fourth Proportional to 278.24, 414.30 and 276.32

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Solution

The fourth proportional to 278.24, 414.30 and 276.32 is: 411.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.24 : 414.30 = 276.32 : x
  2. Step 2: Convert to fraction form
    278.24/414.30 = 276.32/x
  3. Step 3: Cross multiply
    278.24x = 414.30 × 276.32
  4. Step 4: Simplify right side
    278.24x = 114,479.38
  5. Step 5: Solve for x
    x = 114,479.38/278.24
  6. Step 6: Final answer
    x = 411.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.