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Finding the Fourth Proportional to 422.32, 633.44 and 286.24

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Solution

The fourth proportional to 422.32, 633.44 and 286.24 is: 429.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.32 : 633.44 = 286.24 : x
  2. Step 2: Convert to fraction form
    422.32/633.44 = 286.24/x
  3. Step 3: Cross multiply
    422.32x = 633.44 × 286.24
  4. Step 4: Simplify right side
    422.32x = 181,315.87
  5. Step 5: Solve for x
    x = 181,315.87/422.32
  6. Step 6: Final answer
    x = 429.33

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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.