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Finding the Fourth Proportional to 307.25, 423.77 and 196.64

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Solution

The fourth proportional to 307.25, 423.77 and 196.64 is: 271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.25 : 423.77 = 196.64 : x
  2. Step 2: Convert to fraction form
    307.25/423.77 = 196.64/x
  3. Step 3: Cross multiply
    307.25x = 423.77 × 196.64
  4. Step 4: Simplify right side
    307.25x = 83,327.03
  5. Step 5: Solve for x
    x = 83,327.03/307.25
  6. Step 6: Final answer
    x = 271.21

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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.