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Finding the Fourth Proportional to 399.96, 595.80 and 379.44

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Solution

The fourth proportional to 399.96, 595.80 and 379.44 is: 565.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.96 : 595.80 = 379.44 : x
  2. Step 2: Convert to fraction form
    399.96/595.80 = 379.44/x
  3. Step 3: Cross multiply
    399.96x = 595.80 × 379.44
  4. Step 4: Simplify right side
    399.96x = 226,070.35
  5. Step 5: Solve for x
    x = 226,070.35/399.96
  6. Step 6: Final answer
    x = 565.23

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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.