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Finding the Fourth Proportional to 133.62, 199.40 and 130.59

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Solution

The fourth proportional to 133.62, 199.40 and 130.59 is: 194.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.62 : 199.40 = 130.59 : x
  2. Step 2: Convert to fraction form
    133.62/199.40 = 130.59/x
  3. Step 3: Cross multiply
    133.62x = 199.40 × 130.59
  4. Step 4: Simplify right side
    133.62x = 26,039.65
  5. Step 5: Solve for x
    x = 26,039.65/133.62
  6. Step 6: Final answer
    x = 194.88

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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.