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Finding the Fourth Proportional to 215.32, 297.16 and 122.08

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Solution

The fourth proportional to 215.32, 297.16 and 122.08 is: 168.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.32 : 297.16 = 122.08 : x
  2. Step 2: Convert to fraction form
    215.32/297.16 = 122.08/x
  3. Step 3: Cross multiply
    215.32x = 297.16 × 122.08
  4. Step 4: Simplify right side
    215.32x = 36,277.29
  5. Step 5: Solve for x
    x = 36,277.29/215.32
  6. Step 6: Final answer
    x = 168.48

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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.