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Finding the Fourth Proportional to 53.27, 80.27 and 49.12

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Solution

The fourth proportional to 53.27, 80.27 and 49.12 is: 74.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.27 : 80.27 = 49.12 : x
  2. Step 2: Convert to fraction form
    53.27/80.27 = 49.12/x
  3. Step 3: Cross multiply
    53.27x = 80.27 × 49.12
  4. Step 4: Simplify right side
    53.27x = 3,942.91
  5. Step 5: Solve for x
    x = 3,942.91/53.27
  6. Step 6: Final answer
    x = 74.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.