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Finding the Fourth Proportional to 36.18, 49.84 and 34.52

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Solution

The fourth proportional to 36.18, 49.84 and 34.52 is: 47.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.18 : 49.84 = 34.52 : x
  2. Step 2: Convert to fraction form
    36.18/49.84 = 34.52/x
  3. Step 3: Cross multiply
    36.18x = 49.84 × 34.52
  4. Step 4: Simplify right side
    36.18x = 1,720.14
  5. Step 5: Solve for x
    x = 1,720.14/36.18
  6. Step 6: Final answer
    x = 47.54

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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.