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Finding the Fourth Proportional to 397.74, 599.36 and 379.20

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Solution

The fourth proportional to 397.74, 599.36 and 379.20 is: 571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.74 : 599.36 = 379.20 : x
  2. Step 2: Convert to fraction form
    397.74/599.36 = 379.20/x
  3. Step 3: Cross multiply
    397.74x = 599.36 × 379.20
  4. Step 4: Simplify right side
    397.74x = 227,275.42
  5. Step 5: Solve for x
    x = 227,275.42/397.74
  6. Step 6: Final answer
    x = 571.42

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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.