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Finding the Fourth Proportional to 411.62, 567.81 and 271.89

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Solution

The fourth proportional to 411.62, 567.81 and 271.89 is: 375.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.62 : 567.81 = 271.89 : x
  2. Step 2: Convert to fraction form
    411.62/567.81 = 271.89/x
  3. Step 3: Cross multiply
    411.62x = 567.81 × 271.89
  4. Step 4: Simplify right side
    411.62x = 154,381.86
  5. Step 5: Solve for x
    x = 154,381.86/411.62
  6. Step 6: Final answer
    x = 375.06

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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.