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Finding the Fourth Proportional to 55.17, 82.22 and 51.92

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Solution

The fourth proportional to 55.17, 82.22 and 51.92 is: 77.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.17 : 82.22 = 51.92 : x
  2. Step 2: Convert to fraction form
    55.17/82.22 = 51.92/x
  3. Step 3: Cross multiply
    55.17x = 82.22 × 51.92
  4. Step 4: Simplify right side
    55.17x = 4,268.50
  5. Step 5: Solve for x
    x = 4,268.50/55.17
  6. Step 6: Final answer
    x = 77.37

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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.