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Finding the Fourth Proportional to 36.16, 54.15 and 34.78

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Solution

The fourth proportional to 36.16, 54.15 and 34.78 is: 52.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.16 : 54.15 = 34.78 : x
  2. Step 2: Convert to fraction form
    36.16/54.15 = 34.78/x
  3. Step 3: Cross multiply
    36.16x = 54.15 × 34.78
  4. Step 4: Simplify right side
    36.16x = 1,883.34
  5. Step 5: Solve for x
    x = 1,883.34/36.16
  6. Step 6: Final answer
    x = 52.08

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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.