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Finding the Fourth Proportional to 422.33, 583.02 and 282.66

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Solution

The fourth proportional to 422.33, 583.02 and 282.66 is: 390.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.33 : 583.02 = 282.66 : x
  2. Step 2: Convert to fraction form
    422.33/583.02 = 282.66/x
  3. Step 3: Cross multiply
    422.33x = 583.02 × 282.66
  4. Step 4: Simplify right side
    422.33x = 164,796.43
  5. Step 5: Solve for x
    x = 164,796.43/422.33
  6. Step 6: Final answer
    x = 390.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.