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Finding the Fourth Proportional to 307.08, 423.72 and 196.53

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Solution

The fourth proportional to 307.08, 423.72 and 196.53 is: 271.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.08 : 423.72 = 196.53 : x
  2. Step 2: Convert to fraction form
    307.08/423.72 = 196.53/x
  3. Step 3: Cross multiply
    307.08x = 423.72 × 196.53
  4. Step 4: Simplify right side
    307.08x = 83,273.69
  5. Step 5: Solve for x
    x = 83,273.69/307.08
  6. Step 6: Final answer
    x = 271.18

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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.