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Finding the Fourth Proportional to 203.35, 305.09 and 81.58

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Solution

The fourth proportional to 203.35, 305.09 and 81.58 is: 122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.35 : 305.09 = 81.58 : x
  2. Step 2: Convert to fraction form
    203.35/305.09 = 81.58/x
  3. Step 3: Cross multiply
    203.35x = 305.09 × 81.58
  4. Step 4: Simplify right side
    203.35x = 24,889.24
  5. Step 5: Solve for x
    x = 24,889.24/203.35
  6. Step 6: Final answer
    x = 122.40

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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.