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Finding the Fourth Proportional to 282.69, 424.44 and 161.10

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Solution

The fourth proportional to 282.69, 424.44 and 161.10 is: 241.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.69 : 424.44 = 161.10 : x
  2. Step 2: Convert to fraction form
    282.69/424.44 = 161.10/x
  3. Step 3: Cross multiply
    282.69x = 424.44 × 161.10
  4. Step 4: Simplify right side
    282.69x = 68,377.28
  5. Step 5: Solve for x
    x = 68,377.28/282.69
  6. Step 6: Final answer
    x = 241.88

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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.