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Finding the Fourth Proportional to 33.34, 50.26 and 31.57

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Solution

The fourth proportional to 33.34, 50.26 and 31.57 is: 47.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.34 : 50.26 = 31.57 : x
  2. Step 2: Convert to fraction form
    33.34/50.26 = 31.57/x
  3. Step 3: Cross multiply
    33.34x = 50.26 × 31.57
  4. Step 4: Simplify right side
    33.34x = 1,586.71
  5. Step 5: Solve for x
    x = 1,586.71/33.34
  6. Step 6: Final answer
    x = 47.59

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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.