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Finding the Fourth Proportional to 53.93, 80.94 and 43.91

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Solution

The fourth proportional to 53.93, 80.94 and 43.91 is: 65.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.93 : 80.94 = 43.91 : x
  2. Step 2: Convert to fraction form
    53.93/80.94 = 43.91/x
  3. Step 3: Cross multiply
    53.93x = 80.94 × 43.91
  4. Step 4: Simplify right side
    53.93x = 3,554.08
  5. Step 5: Solve for x
    x = 3,554.08/53.93
  6. Step 6: Final answer
    x = 65.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.