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Finding the Fourth Proportional to 231.18, 348.47 and 227.94

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Solution

The fourth proportional to 231.18, 348.47 and 227.94 is: 343.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.18 : 348.47 = 227.94 : x
  2. Step 2: Convert to fraction form
    231.18/348.47 = 227.94/x
  3. Step 3: Cross multiply
    231.18x = 348.47 × 227.94
  4. Step 4: Simplify right side
    231.18x = 79,430.25
  5. Step 5: Solve for x
    x = 79,430.25/231.18
  6. Step 6: Final answer
    x = 343.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.