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Finding the Fourth Proportional to 33.50, 49.90 and 31.74

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Solution

The fourth proportional to 33.50, 49.90 and 31.74 is: 47.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.50 : 49.90 = 31.74 : x
  2. Step 2: Convert to fraction form
    33.50/49.90 = 31.74/x
  3. Step 3: Cross multiply
    33.50x = 49.90 × 31.74
  4. Step 4: Simplify right side
    33.50x = 1,583.83
  5. Step 5: Solve for x
    x = 1,583.83/33.50
  6. Step 6: Final answer
    x = 47.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.