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Finding the Fourth Proportional to 411.67, 567.95 and 271.85

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Solution

The fourth proportional to 411.67, 567.95 and 271.85 is: 375.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.67 : 567.95 = 271.85 : x
  2. Step 2: Convert to fraction form
    411.67/567.95 = 271.85/x
  3. Step 3: Cross multiply
    411.67x = 567.95 × 271.85
  4. Step 4: Simplify right side
    411.67x = 154,395.85
  5. Step 5: Solve for x
    x = 154,395.85/411.67
  6. Step 6: Final answer
    x = 375.05

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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.