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Finding the Fourth Proportional to 36.34, 54.47 and 19.20

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Solution

The fourth proportional to 36.34, 54.47 and 19.20 is: 28.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.34 : 54.47 = 19.20 : x
  2. Step 2: Convert to fraction form
    36.34/54.47 = 19.20/x
  3. Step 3: Cross multiply
    36.34x = 54.47 × 19.20
  4. Step 4: Simplify right side
    36.34x = 1,045.82
  5. Step 5: Solve for x
    x = 1,045.82/36.34
  6. Step 6: Final answer
    x = 28.78

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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.