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Finding the Fourth Proportional to 215.82, 322.27 and 169.65

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Solution

The fourth proportional to 215.82, 322.27 and 169.65 is: 253.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.82 : 322.27 = 169.65 : x
  2. Step 2: Convert to fraction form
    215.82/322.27 = 169.65/x
  3. Step 3: Cross multiply
    215.82x = 322.27 × 169.65
  4. Step 4: Simplify right side
    215.82x = 54,672.68
  5. Step 5: Solve for x
    x = 54,672.68/215.82
  6. Step 6: Final answer
    x = 253.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.