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Finding the Fourth Proportional to 215.86, 324.38 and 113.22

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Solution

The fourth proportional to 215.86, 324.38 and 113.22 is: 170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.86 : 324.38 = 113.22 : x
  2. Step 2: Convert to fraction form
    215.86/324.38 = 113.22/x
  3. Step 3: Cross multiply
    215.86x = 324.38 × 113.22
  4. Step 4: Simplify right side
    215.86x = 36,726.30
  5. Step 5: Solve for x
    x = 36,726.30/215.86
  6. Step 6: Final answer
    x = 170.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.