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Finding the Fourth Proportional to 217.71, 325.36 and 177.18

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Solution

The fourth proportional to 217.71, 325.36 and 177.18 is: 264.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.71 : 325.36 = 177.18 : x
  2. Step 2: Convert to fraction form
    217.71/325.36 = 177.18/x
  3. Step 3: Cross multiply
    217.71x = 325.36 × 177.18
  4. Step 4: Simplify right side
    217.71x = 57,647.28
  5. Step 5: Solve for x
    x = 57,647.28/217.71
  6. Step 6: Final answer
    x = 264.79

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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.