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Finding the Fourth Proportional to 53.49, 73.85 and 33.82

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Solution

The fourth proportional to 53.49, 73.85 and 33.82 is: 46.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.49 : 73.85 = 33.82 : x
  2. Step 2: Convert to fraction form
    53.49/73.85 = 33.82/x
  3. Step 3: Cross multiply
    53.49x = 73.85 × 33.82
  4. Step 4: Simplify right side
    53.49x = 2,497.25
  5. Step 5: Solve for x
    x = 2,497.25/53.49
  6. Step 6: Final answer
    x = 46.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.