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Finding the Fourth Proportional to 411.30, 567.78 and 271.42

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Solution

The fourth proportional to 411.30, 567.78 and 271.42 is: 374.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.30 : 567.78 = 271.42 : x
  2. Step 2: Convert to fraction form
    411.30/567.78 = 271.42/x
  3. Step 3: Cross multiply
    411.30x = 567.78 × 271.42
  4. Step 4: Simplify right side
    411.30x = 154,106.85
  5. Step 5: Solve for x
    x = 154,106.85/411.30
  6. Step 6: Final answer
    x = 374.68

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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.