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Finding the Fourth Proportional to 136.57, 203.37 and 135.05

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Solution

The fourth proportional to 136.57, 203.37 and 135.05 is: 201.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.57 : 203.37 = 135.05 : x
  2. Step 2: Convert to fraction form
    136.57/203.37 = 135.05/x
  3. Step 3: Cross multiply
    136.57x = 203.37 × 135.05
  4. Step 4: Simplify right side
    136.57x = 27,465.12
  5. Step 5: Solve for x
    x = 27,465.12/136.57
  6. Step 6: Final answer
    x = 201.11

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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.