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Finding the Fourth Proportional to 33.21, 45.74 and 31.38

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Solution

The fourth proportional to 33.21, 45.74 and 31.38 is: 43.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.21 : 45.74 = 31.38 : x
  2. Step 2: Convert to fraction form
    33.21/45.74 = 31.38/x
  3. Step 3: Cross multiply
    33.21x = 45.74 × 31.38
  4. Step 4: Simplify right side
    33.21x = 1,435.16
  5. Step 5: Solve for x
    x = 1,435.16/33.21
  6. Step 6: Final answer
    x = 43.21

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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.