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Finding the Fourth Proportional to 203.82, 305.47 and 130.67

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Solution

The fourth proportional to 203.82, 305.47 and 130.67 is: 195.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.82 : 305.47 = 130.67 : x
  2. Step 2: Convert to fraction form
    203.82/305.47 = 130.67/x
  3. Step 3: Cross multiply
    203.82x = 305.47 × 130.67
  4. Step 4: Simplify right side
    203.82x = 39,913.58
  5. Step 5: Solve for x
    x = 39,913.58/203.82
  6. Step 6: Final answer
    x = 195.83

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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.