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Finding the Fourth Proportional to 231.06, 344.47 and 212.79

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Solution

The fourth proportional to 231.06, 344.47 and 212.79 is: 317.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.06 : 344.47 = 212.79 : x
  2. Step 2: Convert to fraction form
    231.06/344.47 = 212.79/x
  3. Step 3: Cross multiply
    231.06x = 344.47 × 212.79
  4. Step 4: Simplify right side
    231.06x = 73,299.24
  5. Step 5: Solve for x
    x = 73,299.24/231.06
  6. Step 6: Final answer
    x = 317.23

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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.