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Finding the Fourth Proportional to 402.21, 600.56 and 379.42

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Solution

The fourth proportional to 402.21, 600.56 and 379.42 is: 566.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.21 : 600.56 = 379.42 : x
  2. Step 2: Convert to fraction form
    402.21/600.56 = 379.42/x
  3. Step 3: Cross multiply
    402.21x = 600.56 × 379.42
  4. Step 4: Simplify right side
    402.21x = 227,864.48
  5. Step 5: Solve for x
    x = 227,864.48/402.21
  6. Step 6: Final answer
    x = 566.53

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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.