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Finding the Fourth Proportional to 33.58, 50.03 and 31.48

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Solution

The fourth proportional to 33.58, 50.03 and 31.48 is: 46.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.58 : 50.03 = 31.48 : x
  2. Step 2: Convert to fraction form
    33.58/50.03 = 31.48/x
  3. Step 3: Cross multiply
    33.58x = 50.03 × 31.48
  4. Step 4: Simplify right side
    33.58x = 1,574.94
  5. Step 5: Solve for x
    x = 1,574.94/33.58
  6. Step 6: Final answer
    x = 46.90

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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.