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Finding the Fourth Proportional to 53.96, 80.57 and 49.77

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Solution

The fourth proportional to 53.96, 80.57 and 49.77 is: 74.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.96 : 80.57 = 49.77 : x
  2. Step 2: Convert to fraction form
    53.96/80.57 = 49.77/x
  3. Step 3: Cross multiply
    53.96x = 80.57 × 49.77
  4. Step 4: Simplify right side
    53.96x = 4,010.09
  5. Step 5: Solve for x
    x = 4,010.09/53.96
  6. Step 6: Final answer
    x = 74.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.