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Finding the Fourth Proportional to 215.93, 297.92 and 169.22

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Solution

The fourth proportional to 215.93, 297.92 and 169.22 is: 233.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.93 : 297.92 = 169.22 : x
  2. Step 2: Convert to fraction form
    215.93/297.92 = 169.22/x
  3. Step 3: Cross multiply
    215.93x = 297.92 × 169.22
  4. Step 4: Simplify right side
    215.93x = 50,411.69
  5. Step 5: Solve for x
    x = 50,411.69/215.93
  6. Step 6: Final answer
    x = 233.47

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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.