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Finding the Fourth Proportional to 53.68, 80.49 and 36.57

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Solution

The fourth proportional to 53.68, 80.49 and 36.57 is: 54.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.68 : 80.49 = 36.57 : x
  2. Step 2: Convert to fraction form
    53.68/80.49 = 36.57/x
  3. Step 3: Cross multiply
    53.68x = 80.49 × 36.57
  4. Step 4: Simplify right side
    53.68x = 2,943.12
  5. Step 5: Solve for x
    x = 2,943.12/53.68
  6. Step 6: Final answer
    x = 54.83

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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.