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Finding the Fourth Proportional to 247.83, 369.56 and 213.81

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Solution

The fourth proportional to 247.83, 369.56 and 213.81 is: 318.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.83 : 369.56 = 213.81 : x
  2. Step 2: Convert to fraction form
    247.83/369.56 = 213.81/x
  3. Step 3: Cross multiply
    247.83x = 369.56 × 213.81
  4. Step 4: Simplify right side
    247.83x = 79,015.62
  5. Step 5: Solve for x
    x = 79,015.62/247.83
  6. Step 6: Final answer
    x = 318.83

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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.