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Finding the Fourth Proportional to 381.11, 568.92 and 368.25

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Solution

The fourth proportional to 381.11, 568.92 and 368.25 is: 549.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.11 : 568.92 = 368.25 : x
  2. Step 2: Convert to fraction form
    381.11/568.92 = 368.25/x
  3. Step 3: Cross multiply
    381.11x = 568.92 × 368.25
  4. Step 4: Simplify right side
    381.11x = 209,504.04
  5. Step 5: Solve for x
    x = 209,504.04/381.11
  6. Step 6: Final answer
    x = 549.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.