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Finding the Fourth Proportional to 278.22, 414.57 and 271.23

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Solution

The fourth proportional to 278.22, 414.57 and 271.23 is: 404.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.22 : 414.57 = 271.23 : x
  2. Step 2: Convert to fraction form
    278.22/414.57 = 271.23/x
  3. Step 3: Cross multiply
    278.22x = 414.57 × 271.23
  4. Step 4: Simplify right side
    278.22x = 112,443.82
  5. Step 5: Solve for x
    x = 112,443.82/278.22
  6. Step 6: Final answer
    x = 404.15

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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.