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Finding the Fourth Proportional to 133.71, 199.30 and 130.05

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Solution

The fourth proportional to 133.71, 199.30 and 130.05 is: 193.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.71 : 199.30 = 130.05 : x
  2. Step 2: Convert to fraction form
    133.71/199.30 = 130.05/x
  3. Step 3: Cross multiply
    133.71x = 199.30 × 130.05
  4. Step 4: Simplify right side
    133.71x = 25,918.64
  5. Step 5: Solve for x
    x = 25,918.64/133.71
  6. Step 6: Final answer
    x = 193.84

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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.