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Finding the Fourth Proportional to 223.89, 335.74 and 77.61

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Solution

The fourth proportional to 223.89, 335.74 and 77.61 is: 116.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.89 : 335.74 = 77.61 : x
  2. Step 2: Convert to fraction form
    223.89/335.74 = 77.61/x
  3. Step 3: Cross multiply
    223.89x = 335.74 × 77.61
  4. Step 4: Simplify right side
    223.89x = 26,056.78
  5. Step 5: Solve for x
    x = 26,056.78/223.89
  6. Step 6: Final answer
    x = 116.38

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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.