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Finding the Fourth Proportional to 53.73, 73.98 and 48.33

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Solution

The fourth proportional to 53.73, 73.98 and 48.33 is: 66.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.73 : 73.98 = 48.33 : x
  2. Step 2: Convert to fraction form
    53.73/73.98 = 48.33/x
  3. Step 3: Cross multiply
    53.73x = 73.98 × 48.33
  4. Step 4: Simplify right side
    53.73x = 3,575.45
  5. Step 5: Solve for x
    x = 3,575.45/53.73
  6. Step 6: Final answer
    x = 66.54

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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.