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Finding the Fourth Proportional to 217.63, 325.01 and 205.79

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Solution

The fourth proportional to 217.63, 325.01 and 205.79 is: 307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.63 : 325.01 = 205.79 : x
  2. Step 2: Convert to fraction form
    217.63/325.01 = 205.79/x
  3. Step 3: Cross multiply
    217.63x = 325.01 × 205.79
  4. Step 4: Simplify right side
    217.63x = 66,882.18
  5. Step 5: Solve for x
    x = 66,882.18/217.63
  6. Step 6: Final answer
    x = 307.32

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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.