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Finding the Fourth Proportional to 418.20, 576.75 and 278.31

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Solution

The fourth proportional to 418.20, 576.75 and 278.31 is: 383.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.20 : 576.75 = 278.31 : x
  2. Step 2: Convert to fraction form
    418.20/576.75 = 278.31/x
  3. Step 3: Cross multiply
    418.20x = 576.75 × 278.31
  4. Step 4: Simplify right side
    418.20x = 160,515.29
  5. Step 5: Solve for x
    x = 160,515.29/418.20
  6. Step 6: Final answer
    x = 383.82

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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.