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Finding the Fourth Proportional to 217.53, 325.89 and 114.71

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Solution

The fourth proportional to 217.53, 325.89 and 114.71 is: 171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.53 : 325.89 = 114.71 : x
  2. Step 2: Convert to fraction form
    217.53/325.89 = 114.71/x
  3. Step 3: Cross multiply
    217.53x = 325.89 × 114.71
  4. Step 4: Simplify right side
    217.53x = 37,381.21
  5. Step 5: Solve for x
    x = 37,381.21/217.53
  6. Step 6: Final answer
    x = 171.84

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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.