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Finding the Fourth Proportional to 376.19, 567.41 and 363.89

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Solution

The fourth proportional to 376.19, 567.41 and 363.89 is: 548.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.19 : 567.41 = 363.89 : x
  2. Step 2: Convert to fraction form
    376.19/567.41 = 363.89/x
  3. Step 3: Cross multiply
    376.19x = 567.41 × 363.89
  4. Step 4: Simplify right side
    376.19x = 206,474.42
  5. Step 5: Solve for x
    x = 206,474.42/376.19
  6. Step 6: Final answer
    x = 548.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.