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Finding the Fourth Proportional to 215.55, 297.49 and 122.32

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Solution

The fourth proportional to 215.55, 297.49 and 122.32 is: 168.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.55 : 297.49 = 122.32 : x
  2. Step 2: Convert to fraction form
    215.55/297.49 = 122.32/x
  3. Step 3: Cross multiply
    215.55x = 297.49 × 122.32
  4. Step 4: Simplify right side
    215.55x = 36,387.87
  5. Step 5: Solve for x
    x = 36,387.87/215.55
  6. Step 6: Final answer
    x = 168.81

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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.