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Finding the Fourth Proportional to 203.32, 305 and 66.43

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Solution

The fourth proportional to 203.32, 305 and 66.43 is: 99.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.32 : 305 = 66.43 : x
  2. Step 2: Convert to fraction form
    203.32/305 = 66.43/x
  3. Step 3: Cross multiply
    203.32x = 305 × 66.43
  4. Step 4: Simplify right side
    203.32x = 20,261.15
  5. Step 5: Solve for x
    x = 20,261.15/203.32
  6. Step 6: Final answer
    x = 99.65

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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.