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Finding the Fourth Proportional to 215.82, 297.79 and 121.27

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Solution

The fourth proportional to 215.82, 297.79 and 121.27 is: 167.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.82 : 297.79 = 121.27 : x
  2. Step 2: Convert to fraction form
    215.82/297.79 = 121.27/x
  3. Step 3: Cross multiply
    215.82x = 297.79 × 121.27
  4. Step 4: Simplify right side
    215.82x = 36,113.69
  5. Step 5: Solve for x
    x = 36,113.69/215.82
  6. Step 6: Final answer
    x = 167.34

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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.