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Finding the Fourth Proportional to 33.42, 49.80 and 32.33

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Solution

The fourth proportional to 33.42, 49.80 and 32.33 is: 48.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.42 : 49.80 = 32.33 : x
  2. Step 2: Convert to fraction form
    33.42/49.80 = 32.33/x
  3. Step 3: Cross multiply
    33.42x = 49.80 × 32.33
  4. Step 4: Simplify right side
    33.42x = 1,610.28
  5. Step 5: Solve for x
    x = 1,610.28/33.42
  6. Step 6: Final answer
    x = 48.18

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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.