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Finding the Fourth Proportional to 135.90, 204.84 and 133.74

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Solution

The fourth proportional to 135.90, 204.84 and 133.74 is: 201.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.90 : 204.84 = 133.74 : x
  2. Step 2: Convert to fraction form
    135.90/204.84 = 133.74/x
  3. Step 3: Cross multiply
    135.90x = 204.84 × 133.74
  4. Step 4: Simplify right side
    135.90x = 27,395.30
  5. Step 5: Solve for x
    x = 27,395.30/135.90
  6. Step 6: Final answer
    x = 201.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.