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Finding the Fourth Proportional to 411.91, 567.53 and 271.78

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Solution

The fourth proportional to 411.91, 567.53 and 271.78 is: 374.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.91 : 567.53 = 271.78 : x
  2. Step 2: Convert to fraction form
    411.91/567.53 = 271.78/x
  3. Step 3: Cross multiply
    411.91x = 567.53 × 271.78
  4. Step 4: Simplify right side
    411.91x = 154,243.30
  5. Step 5: Solve for x
    x = 154,243.30/411.91
  6. Step 6: Final answer
    x = 374.46

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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.