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Finding the Fourth Proportional to 135.68, 202.01 and 133.72

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Solution

The fourth proportional to 135.68, 202.01 and 133.72 is: 199.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.68 : 202.01 = 133.72 : x
  2. Step 2: Convert to fraction form
    135.68/202.01 = 133.72/x
  3. Step 3: Cross multiply
    135.68x = 202.01 × 133.72
  4. Step 4: Simplify right side
    135.68x = 27,012.78
  5. Step 5: Solve for x
    x = 27,012.78/135.68
  6. Step 6: Final answer
    x = 199.09

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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.