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Finding the Fourth Proportional to 44.12, 60.78 and 33.20

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Solution

The fourth proportional to 44.12, 60.78 and 33.20 is: 45.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.12 : 60.78 = 33.20 : x
  2. Step 2: Convert to fraction form
    44.12/60.78 = 33.20/x
  3. Step 3: Cross multiply
    44.12x = 60.78 × 33.20
  4. Step 4: Simplify right side
    44.12x = 2,017.90
  5. Step 5: Solve for x
    x = 2,017.90/44.12
  6. Step 6: Final answer
    x = 45.74

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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.