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Finding the Fourth Proportional to 231.75, 345.72 and 225.47

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Solution

The fourth proportional to 231.75, 345.72 and 225.47 is: 336.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.75 : 345.72 = 225.47 : x
  2. Step 2: Convert to fraction form
    231.75/345.72 = 225.47/x
  3. Step 3: Cross multiply
    231.75x = 345.72 × 225.47
  4. Step 4: Simplify right side
    231.75x = 77,949.49
  5. Step 5: Solve for x
    x = 77,949.49/231.75
  6. Step 6: Final answer
    x = 336.35

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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.