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Finding the Fourth Proportional to 36.32, 50.05 and 27.11

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Solution

The fourth proportional to 36.32, 50.05 and 27.11 is: 37.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.32 : 50.05 = 27.11 : x
  2. Step 2: Convert to fraction form
    36.32/50.05 = 27.11/x
  3. Step 3: Cross multiply
    36.32x = 50.05 × 27.11
  4. Step 4: Simplify right side
    36.32x = 1,356.86
  5. Step 5: Solve for x
    x = 1,356.86/36.32
  6. Step 6: Final answer
    x = 37.36

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1.5x scale

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.