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Finding the Fourth Proportional to 133.54, 199.10 and 132.18

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Solution

The fourth proportional to 133.54, 199.10 and 132.18 is: 197.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.54 : 199.10 = 132.18 : x
  2. Step 2: Convert to fraction form
    133.54/199.10 = 132.18/x
  3. Step 3: Cross multiply
    133.54x = 199.10 × 132.18
  4. Step 4: Simplify right side
    133.54x = 26,317.04
  5. Step 5: Solve for x
    x = 26,317.04/133.54
  6. Step 6: Final answer
    x = 197.07

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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.