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Finding the Fourth Proportional to 320.39, 441.67 and 215.29

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Solution

The fourth proportional to 320.39, 441.67 and 215.29 is: 296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.39 : 441.67 = 215.29 : x
  2. Step 2: Convert to fraction form
    320.39/441.67 = 215.29/x
  3. Step 3: Cross multiply
    320.39x = 441.67 × 215.29
  4. Step 4: Simplify right side
    320.39x = 95,083.85
  5. Step 5: Solve for x
    x = 95,083.85/320.39
  6. Step 6: Final answer
    x = 296.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.