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Finding the Fourth Proportional to 203.95, 305.88 and 99.85

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Solution

The fourth proportional to 203.95, 305.88 and 99.85 is: 149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.95 : 305.88 = 99.85 : x
  2. Step 2: Convert to fraction form
    203.95/305.88 = 99.85/x
  3. Step 3: Cross multiply
    203.95x = 305.88 × 99.85
  4. Step 4: Simplify right side
    203.95x = 30,542.12
  5. Step 5: Solve for x
    x = 30,542.12/203.95
  6. Step 6: Final answer
    x = 149.75

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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.