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Finding the Fourth Proportional to 307.14, 422.82 and 266.22

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Solution

The fourth proportional to 307.14, 422.82 and 266.22 is: 366.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.14 : 422.82 = 266.22 : x
  2. Step 2: Convert to fraction form
    307.14/422.82 = 266.22/x
  3. Step 3: Cross multiply
    307.14x = 422.82 × 266.22
  4. Step 4: Simplify right side
    307.14x = 112,563.14
  5. Step 5: Solve for x
    x = 112,563.14/307.14
  6. Step 6: Final answer
    x = 366.49

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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.