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Finding the Fourth Proportional to 215.64, 297.55 and 122.38

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Solution

The fourth proportional to 215.64, 297.55 and 122.38 is: 168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.64 : 297.55 = 122.38 : x
  2. Step 2: Convert to fraction form
    215.64/297.55 = 122.38/x
  3. Step 3: Cross multiply
    215.64x = 297.55 × 122.38
  4. Step 4: Simplify right side
    215.64x = 36,414.17
  5. Step 5: Solve for x
    x = 36,414.17/215.64
  6. Step 6: Final answer
    x = 168.87

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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.