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Finding the Fourth Proportional to 680, 1,020.12 and 241.22

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Solution

The fourth proportional to 680, 1,020.12 and 241.22 is: 361.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    680 : 1,020.12 = 241.22 : x
  2. Step 2: Convert to fraction form
    680/1,020.12 = 241.22/x
  3. Step 3: Cross multiply
    680x = 1,020.12 × 241.22
  4. Step 4: Simplify right side
    680x = 246,073.35
  5. Step 5: Solve for x
    x = 246,073.35/680
  6. Step 6: Final answer
    x = 361.87

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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.