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Finding the Fourth Proportional to 307.34, 423.29 and 306.44

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Solution

The fourth proportional to 307.34, 423.29 and 306.44 is: 422.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.34 : 423.29 = 306.44 : x
  2. Step 2: Convert to fraction form
    307.34/423.29 = 306.44/x
  3. Step 3: Cross multiply
    307.34x = 423.29 × 306.44
  4. Step 4: Simplify right side
    307.34x = 129,709.34
  5. Step 5: Solve for x
    x = 129,709.34/307.34
  6. Step 6: Final answer
    x = 422.05

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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.