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Finding the Fourth Proportional to 135.63, 202.14 and 133.47

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Solution

The fourth proportional to 135.63, 202.14 and 133.47 is: 198.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.63 : 202.14 = 133.47 : x
  2. Step 2: Convert to fraction form
    135.63/202.14 = 133.47/x
  3. Step 3: Cross multiply
    135.63x = 202.14 × 133.47
  4. Step 4: Simplify right side
    135.63x = 26,979.63
  5. Step 5: Solve for x
    x = 26,979.63/135.63
  6. Step 6: Final answer
    x = 198.92

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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.