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Finding the Fourth Proportional to 203.99, 306.07 and 82.35

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Solution

The fourth proportional to 203.99, 306.07 and 82.35 is: 123.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.99 : 306.07 = 82.35 : x
  2. Step 2: Convert to fraction form
    203.99/306.07 = 82.35/x
  3. Step 3: Cross multiply
    203.99x = 306.07 × 82.35
  4. Step 4: Simplify right side
    203.99x = 25,204.66
  5. Step 5: Solve for x
    x = 25,204.66/203.99
  6. Step 6: Final answer
    x = 123.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.