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Finding the Fourth Proportional to 136.12, 202.68 and 135.16

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Solution

The fourth proportional to 136.12, 202.68 and 135.16 is: 201.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.12 : 202.68 = 135.16 : x
  2. Step 2: Convert to fraction form
    136.12/202.68 = 135.16/x
  3. Step 3: Cross multiply
    136.12x = 202.68 × 135.16
  4. Step 4: Simplify right side
    136.12x = 27,394.23
  5. Step 5: Solve for x
    x = 27,394.23/136.12
  6. Step 6: Final answer
    x = 201.25

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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.