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Finding the Fourth Proportional to 381.80, 568.24 and 380.60

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Solution

The fourth proportional to 381.80, 568.24 and 380.60 is: 566.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.80 : 568.24 = 380.60 : x
  2. Step 2: Convert to fraction form
    381.80/568.24 = 380.60/x
  3. Step 3: Cross multiply
    381.80x = 568.24 × 380.60
  4. Step 4: Simplify right side
    381.80x = 216,272.14
  5. Step 5: Solve for x
    x = 216,272.14/381.80
  6. Step 6: Final answer
    x = 566.45

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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.