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Finding the Fourth Proportional to 33.85, 51.01 and 33.54

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Solution

The fourth proportional to 33.85, 51.01 and 33.54 is: 50.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.85 : 51.01 = 33.54 : x
  2. Step 2: Convert to fraction form
    33.85/51.01 = 33.54/x
  3. Step 3: Cross multiply
    33.85x = 51.01 × 33.54
  4. Step 4: Simplify right side
    33.85x = 1,710.71
  5. Step 5: Solve for x
    x = 1,710.71/33.85
  6. Step 6: Final answer
    x = 50.55

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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.