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Finding the Fourth Proportional to 47.95, 66.18 and 33.37

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Solution

The fourth proportional to 47.95, 66.18 and 33.37 is: 46.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.95 : 66.18 = 33.37 : x
  2. Step 2: Convert to fraction form
    47.95/66.18 = 33.37/x
  3. Step 3: Cross multiply
    47.95x = 66.18 × 33.37
  4. Step 4: Simplify right side
    47.95x = 2,208.43
  5. Step 5: Solve for x
    x = 2,208.43/47.95
  6. Step 6: Final answer
    x = 46.06

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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.