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Finding the Fourth Proportional to 307.22, 422.69 and 233.10

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Solution

The fourth proportional to 307.22, 422.69 and 233.10 is: 320.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.22 : 422.69 = 233.10 : x
  2. Step 2: Convert to fraction form
    307.22/422.69 = 233.10/x
  3. Step 3: Cross multiply
    307.22x = 422.69 × 233.10
  4. Step 4: Simplify right side
    307.22x = 98,527.87
  5. Step 5: Solve for x
    x = 98,527.87/307.22
  6. Step 6: Final answer
    x = 320.71

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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.