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Finding the Fourth Proportional to 217.66, 325.97 and 120.01

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Solution

The fourth proportional to 217.66, 325.97 and 120.01 is: 179.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.66 : 325.97 = 120.01 : x
  2. Step 2: Convert to fraction form
    217.66/325.97 = 120.01/x
  3. Step 3: Cross multiply
    217.66x = 325.97 × 120.01
  4. Step 4: Simplify right side
    217.66x = 39,117.43
  5. Step 5: Solve for x
    x = 39,117.43/217.66
  6. Step 6: Final answer
    x = 179.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.