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Finding the Fourth Proportional to 397.43, 592.68 and 348.92

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Solution

The fourth proportional to 397.43, 592.68 and 348.92 is: 520.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.43 : 592.68 = 348.92 : x
  2. Step 2: Convert to fraction form
    397.43/592.68 = 348.92/x
  3. Step 3: Cross multiply
    397.43x = 592.68 × 348.92
  4. Step 4: Simplify right side
    397.43x = 206,794.94
  5. Step 5: Solve for x
    x = 206,794.94/397.43
  6. Step 6: Final answer
    x = 520.33

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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.