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Finding the Fourth Proportional to 215.47, 297.34 and 122.22

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Solution

The fourth proportional to 215.47, 297.34 and 122.22 is: 168.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.47 : 297.34 = 122.22 : x
  2. Step 2: Convert to fraction form
    215.47/297.34 = 122.22/x
  3. Step 3: Cross multiply
    215.47x = 297.34 × 122.22
  4. Step 4: Simplify right side
    215.47x = 36,340.59
  5. Step 5: Solve for x
    x = 36,340.59/215.47
  6. Step 6: Final answer
    x = 168.66

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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.