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Finding the Fourth Proportional to 223.24, 335.08 and 131.84

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Solution

The fourth proportional to 223.24, 335.08 and 131.84 is: 197.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.24 : 335.08 = 131.84 : x
  2. Step 2: Convert to fraction form
    223.24/335.08 = 131.84/x
  3. Step 3: Cross multiply
    223.24x = 335.08 × 131.84
  4. Step 4: Simplify right side
    223.24x = 44,176.95
  5. Step 5: Solve for x
    x = 44,176.95/223.24
  6. Step 6: Final answer
    x = 197.89

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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.