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Finding the Fourth Proportional to 36.26, 54.16 and 31.40

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Solution

The fourth proportional to 36.26, 54.16 and 31.40 is: 46.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.26 : 54.16 = 31.40 : x
  2. Step 2: Convert to fraction form
    36.26/54.16 = 31.40/x
  3. Step 3: Cross multiply
    36.26x = 54.16 × 31.40
  4. Step 4: Simplify right side
    36.26x = 1,700.62
  5. Step 5: Solve for x
    x = 1,700.62/36.26
  6. Step 6: Final answer
    x = 46.90

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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.