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Finding the Fourth Proportional to 307.15, 423.68 and 196.43

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Solution

The fourth proportional to 307.15, 423.68 and 196.43 is: 270.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.15 : 423.68 = 196.43 : x
  2. Step 2: Convert to fraction form
    307.15/423.68 = 196.43/x
  3. Step 3: Cross multiply
    307.15x = 423.68 × 196.43
  4. Step 4: Simplify right side
    307.15x = 83,223.46
  5. Step 5: Solve for x
    x = 83,223.46/307.15
  6. Step 6: Final answer
    x = 270.96

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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.