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Finding the Fourth Proportional to 283.43, 424.57 and 161.34

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Solution

The fourth proportional to 283.43, 424.57 and 161.34 is: 241.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.43 : 424.57 = 161.34 : x
  2. Step 2: Convert to fraction form
    283.43/424.57 = 161.34/x
  3. Step 3: Cross multiply
    283.43x = 424.57 × 161.34
  4. Step 4: Simplify right side
    283.43x = 68,500.12
  5. Step 5: Solve for x
    x = 68,500.12/283.43
  6. Step 6: Final answer
    x = 241.68

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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.