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Finding the Fourth Proportional to 278.04, 414.30 and 264.94

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Solution

The fourth proportional to 278.04, 414.30 and 264.94 is: 394.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.04 : 414.30 = 264.94 : x
  2. Step 2: Convert to fraction form
    278.04/414.30 = 264.94/x
  3. Step 3: Cross multiply
    278.04x = 414.30 × 264.94
  4. Step 4: Simplify right side
    278.04x = 109,764.64
  5. Step 5: Solve for x
    x = 109,764.64/278.04
  6. Step 6: Final answer
    x = 394.78

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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.