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Finding the Fourth Proportional to 217.83, 324.26 and 207.87

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Solution

The fourth proportional to 217.83, 324.26 and 207.87 is: 309.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.83 : 324.26 = 207.87 : x
  2. Step 2: Convert to fraction form
    217.83/324.26 = 207.87/x
  3. Step 3: Cross multiply
    217.83x = 324.26 × 207.87
  4. Step 4: Simplify right side
    217.83x = 67,405.44
  5. Step 5: Solve for x
    x = 67,405.44/217.83
  6. Step 6: Final answer
    x = 309.44

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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.