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Finding the Fourth Proportional to 226.56, 339.90 and 87.74

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Solution

The fourth proportional to 226.56, 339.90 and 87.74 is: 131.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.56 : 339.90 = 87.74 : x
  2. Step 2: Convert to fraction form
    226.56/339.90 = 87.74/x
  3. Step 3: Cross multiply
    226.56x = 339.90 × 87.74
  4. Step 4: Simplify right side
    226.56x = 29,822.83
  5. Step 5: Solve for x
    x = 29,822.83/226.56
  6. Step 6: Final answer
    x = 131.63

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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.