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Finding the Fourth Proportional to 399.10, 594.88 and 379.61

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Solution

The fourth proportional to 399.10, 594.88 and 379.61 is: 565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.10 : 594.88 = 379.61 : x
  2. Step 2: Convert to fraction form
    399.10/594.88 = 379.61/x
  3. Step 3: Cross multiply
    399.10x = 594.88 × 379.61
  4. Step 4: Simplify right side
    399.10x = 225,822.40
  5. Step 5: Solve for x
    x = 225,822.40/399.10
  6. Step 6: Final answer
    x = 565.83

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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.