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Finding the Fourth Proportional to 215.29, 297.20 and 166.33

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Solution

The fourth proportional to 215.29, 297.20 and 166.33 is: 229.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.29 : 297.20 = 166.33 : x
  2. Step 2: Convert to fraction form
    215.29/297.20 = 166.33/x
  3. Step 3: Cross multiply
    215.29x = 297.20 × 166.33
  4. Step 4: Simplify right side
    215.29x = 49,433.28
  5. Step 5: Solve for x
    x = 49,433.28/215.29
  6. Step 6: Final answer
    x = 229.61

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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.