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Finding the Fourth Proportional to 136.14, 203.25 and 115.64

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Solution

The fourth proportional to 136.14, 203.25 and 115.64 is: 172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.14 : 203.25 = 115.64 : x
  2. Step 2: Convert to fraction form
    136.14/203.25 = 115.64/x
  3. Step 3: Cross multiply
    136.14x = 203.25 × 115.64
  4. Step 4: Simplify right side
    136.14x = 23,503.83
  5. Step 5: Solve for x
    x = 23,503.83/136.14
  6. Step 6: Final answer
    x = 172.64

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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.