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Finding the Fourth Proportional to 53.49, 80.69 and 52.97

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Solution

The fourth proportional to 53.49, 80.69 and 52.97 is: 79.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.49 : 80.69 = 52.97 : x
  2. Step 2: Convert to fraction form
    53.49/80.69 = 52.97/x
  3. Step 3: Cross multiply
    53.49x = 80.69 × 52.97
  4. Step 4: Simplify right side
    53.49x = 4,273.48
  5. Step 5: Solve for x
    x = 4,273.48/53.49
  6. Step 6: Final answer
    x = 79.89

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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.