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Finding the Fourth Proportional to 33.19, 50.05 and 31.23

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Solution

The fourth proportional to 33.19, 50.05 and 31.23 is: 47.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.19 : 50.05 = 31.23 : x
  2. Step 2: Convert to fraction form
    33.19/50.05 = 31.23/x
  3. Step 3: Cross multiply
    33.19x = 50.05 × 31.23
  4. Step 4: Simplify right side
    33.19x = 1,563.10
  5. Step 5: Solve for x
    x = 1,563.10/33.19
  6. Step 6: Final answer
    x = 47.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.