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Finding the Fourth Proportional to 381.96, 568.98 and 361.44

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Solution

The fourth proportional to 381.96, 568.98 and 361.44 is: 538.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.96 : 568.98 = 361.44 : x
  2. Step 2: Convert to fraction form
    381.96/568.98 = 361.44/x
  3. Step 3: Cross multiply
    381.96x = 568.98 × 361.44
  4. Step 4: Simplify right side
    381.96x = 205,652.13
  5. Step 5: Solve for x
    x = 205,652.13/381.96
  6. Step 6: Final answer
    x = 538.41

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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.