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Finding the Fourth Proportional to 397.11, 594.85 and 319.65

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Solution

The fourth proportional to 397.11, 594.85 and 319.65 is: 478.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.11 : 594.85 = 319.65 : x
  2. Step 2: Convert to fraction form
    397.11/594.85 = 319.65/x
  3. Step 3: Cross multiply
    397.11x = 594.85 × 319.65
  4. Step 4: Simplify right side
    397.11x = 190,143.80
  5. Step 5: Solve for x
    x = 190,143.80/397.11
  6. Step 6: Final answer
    x = 478.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.