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Finding the Fourth Proportional to 422.60, 583.20 and 236.12

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Solution

The fourth proportional to 422.60, 583.20 and 236.12 is: 325.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.60 : 583.20 = 236.12 : x
  2. Step 2: Convert to fraction form
    422.60/583.20 = 236.12/x
  3. Step 3: Cross multiply
    422.60x = 583.20 × 236.12
  4. Step 4: Simplify right side
    422.60x = 137,705.18
  5. Step 5: Solve for x
    x = 137,705.18/422.60
  6. Step 6: Final answer
    x = 325.85

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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.