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Finding the Fourth Proportional to 226.86, 340.44 and 118.74

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Solution

The fourth proportional to 226.86, 340.44 and 118.74 is: 178.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.86 : 340.44 = 118.74 : x
  2. Step 2: Convert to fraction form
    226.86/340.44 = 118.74/x
  3. Step 3: Cross multiply
    226.86x = 340.44 × 118.74
  4. Step 4: Simplify right side
    226.86x = 40,423.85
  5. Step 5: Solve for x
    x = 40,423.85/226.86
  6. Step 6: Final answer
    x = 178.19

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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.