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Finding the Fourth Proportional to 306.90, 423.59 and 196.49

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Solution

The fourth proportional to 306.90, 423.59 and 196.49 is: 271.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.90 : 423.59 = 196.49 : x
  2. Step 2: Convert to fraction form
    306.90/423.59 = 196.49/x
  3. Step 3: Cross multiply
    306.90x = 423.59 × 196.49
  4. Step 4: Simplify right side
    306.90x = 83,228.10
  5. Step 5: Solve for x
    x = 83,228.10/306.90
  6. Step 6: Final answer
    x = 271.19

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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.