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Finding the Fourth Proportional to 52.92, 79.32 and 20.82

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Solution

The fourth proportional to 52.92, 79.32 and 20.82 is: 31.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.92 : 79.32 = 20.82 : x
  2. Step 2: Convert to fraction form
    52.92/79.32 = 20.82/x
  3. Step 3: Cross multiply
    52.92x = 79.32 × 20.82
  4. Step 4: Simplify right side
    52.92x = 1,651.44
  5. Step 5: Solve for x
    x = 1,651.44/52.92
  6. Step 6: Final answer
    x = 31.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.