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Finding the Fourth Proportional to 54.83, 82.75 and 52.92

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Solution

The fourth proportional to 54.83, 82.75 and 52.92 is: 79.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.83 : 82.75 = 52.92 : x
  2. Step 2: Convert to fraction form
    54.83/82.75 = 52.92/x
  3. Step 3: Cross multiply
    54.83x = 82.75 × 52.92
  4. Step 4: Simplify right side
    54.83x = 4,379.00
  5. Step 5: Solve for x
    x = 4,379.00/54.83
  6. Step 6: Final answer
    x = 79.87

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