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Finding the Fourth Proportional to 418.19, 576.78 and 278.26

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Solution

The fourth proportional to 418.19, 576.78 and 278.26 is: 383.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.19 : 576.78 = 278.26 : x
  2. Step 2: Convert to fraction form
    418.19/576.78 = 278.26/x
  3. Step 3: Cross multiply
    418.19x = 576.78 × 278.26
  4. Step 4: Simplify right side
    418.19x = 160,494.80
  5. Step 5: Solve for x
    x = 160,494.80/418.19
  6. Step 6: Final answer
    x = 383.78

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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.