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Finding the Fourth Proportional to 556.67, 834.39 and 231.72

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Solution

The fourth proportional to 556.67, 834.39 and 231.72 is: 347.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.67 : 834.39 = 231.72 : x
  2. Step 2: Convert to fraction form
    556.67/834.39 = 231.72/x
  3. Step 3: Cross multiply
    556.67x = 834.39 × 231.72
  4. Step 4: Simplify right side
    556.67x = 193,344.85
  5. Step 5: Solve for x
    x = 193,344.85/556.67
  6. Step 6: Final answer
    x = 347.33

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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.