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Finding the Fourth Proportional to 231.47, 344.72 and 217.50

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Solution

The fourth proportional to 231.47, 344.72 and 217.50 is: 323.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.47 : 344.72 = 217.50 : x
  2. Step 2: Convert to fraction form
    231.47/344.72 = 217.50/x
  3. Step 3: Cross multiply
    231.47x = 344.72 × 217.50
  4. Step 4: Simplify right side
    231.47x = 74,976.33
  5. Step 5: Solve for x
    x = 74,976.33/231.47
  6. Step 6: Final answer
    x = 323.91

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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.