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Finding the Fourth Proportional to 136.37, 188.22 and 87.25

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Solution

The fourth proportional to 136.37, 188.22 and 87.25 is: 120.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.37 : 188.22 = 87.25 : x
  2. Step 2: Convert to fraction form
    136.37/188.22 = 87.25/x
  3. Step 3: Cross multiply
    136.37x = 188.22 × 87.25
  4. Step 4: Simplify right side
    136.37x = 16,421.05
  5. Step 5: Solve for x
    x = 16,421.05/136.37
  6. Step 6: Final answer
    x = 120.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.