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Finding the Fourth Proportional to 53.68, 80 and 51.92

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Solution

The fourth proportional to 53.68, 80 and 51.92 is: 77.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.68 : 80 = 51.92 : x
  2. Step 2: Convert to fraction form
    53.68/80 = 51.92/x
  3. Step 3: Cross multiply
    53.68x = 80 × 51.92
  4. Step 4: Simplify right side
    53.68x = 4,153.60
  5. Step 5: Solve for x
    x = 4,153.60/53.68
  6. Step 6: Final answer
    x = 77.38

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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.