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Finding the Fourth Proportional to 422.53, 583.07 and 236.03

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Solution

The fourth proportional to 422.53, 583.07 and 236.03 is: 325.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.53 : 583.07 = 236.03 : x
  2. Step 2: Convert to fraction form
    422.53/583.07 = 236.03/x
  3. Step 3: Cross multiply
    422.53x = 583.07 × 236.03
  4. Step 4: Simplify right side
    422.53x = 137,621.20
  5. Step 5: Solve for x
    x = 137,621.20/422.53
  6. Step 6: Final answer
    x = 325.71

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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.