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Finding the Fourth Proportional to 418.20, 576.88 and 278.38

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Solution

The fourth proportional to 418.20, 576.88 and 278.38 is: 384.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.20 : 576.88 = 278.38 : x
  2. Step 2: Convert to fraction form
    418.20/576.88 = 278.38/x
  3. Step 3: Cross multiply
    418.20x = 576.88 × 278.38
  4. Step 4: Simplify right side
    418.20x = 160,591.85
  5. Step 5: Solve for x
    x = 160,591.85/418.20
  6. Step 6: Final answer
    x = 384.01

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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.