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Finding the Fourth Proportional to 203.86, 305.91 and 130.79

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Solution

The fourth proportional to 203.86, 305.91 and 130.79 is: 196.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.86 : 305.91 = 130.79 : x
  2. Step 2: Convert to fraction form
    203.86/305.91 = 130.79/x
  3. Step 3: Cross multiply
    203.86x = 305.91 × 130.79
  4. Step 4: Simplify right side
    203.86x = 40,008.44
  5. Step 5: Solve for x
    x = 40,008.44/203.86
  6. Step 6: Final answer
    x = 196.26

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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.