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Finding the Fourth Proportional to 36.67, 54.98 and 16.40

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Solution

The fourth proportional to 36.67, 54.98 and 16.40 is: 24.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.67 : 54.98 = 16.40 : x
  2. Step 2: Convert to fraction form
    36.67/54.98 = 16.40/x
  3. Step 3: Cross multiply
    36.67x = 54.98 × 16.40
  4. Step 4: Simplify right side
    36.67x = 901.67
  5. Step 5: Solve for x
    x = 901.67/36.67
  6. Step 6: Final answer
    x = 24.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.