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Finding the Fourth Proportional to 231.64, 348.73 and 211.80

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Solution

The fourth proportional to 231.64, 348.73 and 211.80 is: 318.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.64 : 348.73 = 211.80 : x
  2. Step 2: Convert to fraction form
    231.64/348.73 = 211.80/x
  3. Step 3: Cross multiply
    231.64x = 348.73 × 211.80
  4. Step 4: Simplify right side
    231.64x = 73,861.01
  5. Step 5: Solve for x
    x = 73,861.01/231.64
  6. Step 6: Final answer
    x = 318.86

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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.