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Finding the Fourth Proportional to 215.24, 297.16 and 166.22

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Solution

The fourth proportional to 215.24, 297.16 and 166.22 is: 229.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.24 : 297.16 = 166.22 : x
  2. Step 2: Convert to fraction form
    215.24/297.16 = 166.22/x
  3. Step 3: Cross multiply
    215.24x = 297.16 × 166.22
  4. Step 4: Simplify right side
    215.24x = 49,393.94
  5. Step 5: Solve for x
    x = 49,393.94/215.24
  6. Step 6: Final answer
    x = 229.48

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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.