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Finding the Fourth Proportional to 1,288.25, 1,932.39 and 363.81

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Solution

The fourth proportional to 1,288.25, 1,932.39 and 363.81 is: 545.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.25 : 1,932.39 = 363.81 : x
  2. Step 2: Convert to fraction form
    1,288.25/1,932.39 = 363.81/x
  3. Step 3: Cross multiply
    1,288.25x = 1,932.39 × 363.81
  4. Step 4: Simplify right side
    1,288.25x = 703,019.18
  5. Step 5: Solve for x
    x = 703,019.18/1,288.25
  6. Step 6: Final answer
    x = 545.71

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Why These Related Problems?

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