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Finding the Fourth Proportional to 397.80, 594.14 and 343.13

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Solution

The fourth proportional to 397.80, 594.14 and 343.13 is: 512.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.80 : 594.14 = 343.13 : x
  2. Step 2: Convert to fraction form
    397.80/594.14 = 343.13/x
  3. Step 3: Cross multiply
    397.80x = 594.14 × 343.13
  4. Step 4: Simplify right side
    397.80x = 203,865.15
  5. Step 5: Solve for x
    x = 203,865.15/397.80
  6. Step 6: Final answer
    x = 512.48

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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.