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Finding the Fourth Proportional to 231.93, 347.72 and 220.39

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Solution

The fourth proportional to 231.93, 347.72 and 220.39 is: 330.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.93 : 347.72 = 220.39 : x
  2. Step 2: Convert to fraction form
    231.93/347.72 = 220.39/x
  3. Step 3: Cross multiply
    231.93x = 347.72 × 220.39
  4. Step 4: Simplify right side
    231.93x = 76,632.04
  5. Step 5: Solve for x
    x = 76,632.04/231.93
  6. Step 6: Final answer
    x = 330.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.