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Finding the Fourth Proportional to 53.26, 80.29 and 49.78

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Solution

The fourth proportional to 53.26, 80.29 and 49.78 is: 75.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.26 : 80.29 = 49.78 : x
  2. Step 2: Convert to fraction form
    53.26/80.29 = 49.78/x
  3. Step 3: Cross multiply
    53.26x = 80.29 × 49.78
  4. Step 4: Simplify right side
    53.26x = 3,996.84
  5. Step 5: Solve for x
    x = 3,996.84/53.26
  6. Step 6: Final answer
    x = 75.04

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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.