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Finding the Fourth Proportional to 52.54, 79.25 and 50.92

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Solution

The fourth proportional to 52.54, 79.25 and 50.92 is: 76.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.54 : 79.25 = 50.92 : x
  2. Step 2: Convert to fraction form
    52.54/79.25 = 50.92/x
  3. Step 3: Cross multiply
    52.54x = 79.25 × 50.92
  4. Step 4: Simplify right side
    52.54x = 4,035.41
  5. Step 5: Solve for x
    x = 4,035.41/52.54
  6. Step 6: Final answer
    x = 76.81

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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.