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Finding the Fourth Proportional to 282.25, 422.69 and 233.20

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Solution

The fourth proportional to 282.25, 422.69 and 233.20 is: 349.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.25 : 422.69 = 233.20 : x
  2. Step 2: Convert to fraction form
    282.25/422.69 = 233.20/x
  3. Step 3: Cross multiply
    282.25x = 422.69 × 233.20
  4. Step 4: Simplify right side
    282.25x = 98,570.14
  5. Step 5: Solve for x
    x = 98,570.14/282.25
  6. Step 6: Final answer
    x = 349.23

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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.