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Finding the Fourth Proportional to 217.59, 324.65 and 207.27

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Solution

The fourth proportional to 217.59, 324.65 and 207.27 is: 309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.59 : 324.65 = 207.27 : x
  2. Step 2: Convert to fraction form
    217.59/324.65 = 207.27/x
  3. Step 3: Cross multiply
    217.59x = 324.65 × 207.27
  4. Step 4: Simplify right side
    217.59x = 67,289.17
  5. Step 5: Solve for x
    x = 67,289.17/217.59
  6. Step 6: Final answer
    x = 309.25

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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.