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Finding the Fourth Proportional to 133, 198.61 and 130

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Solution

The fourth proportional to 133, 198.61 and 130 is: 194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133 : 198.61 = 130 : x
  2. Step 2: Convert to fraction form
    133/198.61 = 130/x
  3. Step 3: Cross multiply
    133x = 198.61 × 130
  4. Step 4: Simplify right side
    133x = 25,819.30
  5. Step 5: Solve for x
    x = 25,819.30/133
  6. Step 6: Final answer
    x = 194.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.