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Finding the Fourth Proportional to 411.18, 567.65 and 271.53

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Solution

The fourth proportional to 411.18, 567.65 and 271.53 is: 374.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.18 : 567.65 = 271.53 : x
  2. Step 2: Convert to fraction form
    411.18/567.65 = 271.53/x
  3. Step 3: Cross multiply
    411.18x = 567.65 × 271.53
  4. Step 4: Simplify right side
    411.18x = 154,133.67
  5. Step 5: Solve for x
    x = 154,133.67/411.18
  6. Step 6: Final answer
    x = 374.85

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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.