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Finding the Fourth Proportional to 231.20, 344.84 and 225.74

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Solution

The fourth proportional to 231.20, 344.84 and 225.74 is: 336.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.20 : 344.84 = 225.74 : x
  2. Step 2: Convert to fraction form
    231.20/344.84 = 225.74/x
  3. Step 3: Cross multiply
    231.20x = 344.84 × 225.74
  4. Step 4: Simplify right side
    231.20x = 77,844.18
  5. Step 5: Solve for x
    x = 77,844.18/231.20
  6. Step 6: Final answer
    x = 336.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.