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Finding the Fourth Proportional to 376.88, 568.69 and 361.90

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Solution

The fourth proportional to 376.88, 568.69 and 361.90 is: 546.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.88 : 568.69 = 361.90 : x
  2. Step 2: Convert to fraction form
    376.88/568.69 = 361.90/x
  3. Step 3: Cross multiply
    376.88x = 568.69 × 361.90
  4. Step 4: Simplify right side
    376.88x = 205,808.91
  5. Step 5: Solve for x
    x = 205,808.91/376.88
  6. Step 6: Final answer
    x = 546.09

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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.