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Finding the Fourth Proportional to 307.19, 423.53 and 196.48

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Solution

The fourth proportional to 307.19, 423.53 and 196.48 is: 270.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.19 : 423.53 = 196.48 : x
  2. Step 2: Convert to fraction form
    307.19/423.53 = 196.48/x
  3. Step 3: Cross multiply
    307.19x = 423.53 × 196.48
  4. Step 4: Simplify right side
    307.19x = 83,215.17
  5. Step 5: Solve for x
    x = 83,215.17/307.19
  6. Step 6: Final answer
    x = 270.89

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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.