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Finding the Fourth Proportional to 282.90, 422.03 and 258.42

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Solution

The fourth proportional to 282.90, 422.03 and 258.42 is: 385.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.90 : 422.03 = 258.42 : x
  2. Step 2: Convert to fraction form
    282.90/422.03 = 258.42/x
  3. Step 3: Cross multiply
    282.90x = 422.03 × 258.42
  4. Step 4: Simplify right side
    282.90x = 109,059.70
  5. Step 5: Solve for x
    x = 109,059.70/282.90
  6. Step 6: Final answer
    x = 385.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.