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Finding the Fourth Proportional to 217, 325.02 and 171.40

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Solution

The fourth proportional to 217, 325.02 and 171.40 is: 256.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    217 : 325.02 = 171.40 : x
  2. Step 2: Convert to fraction form
    217/325.02 = 171.40/x
  3. Step 3: Cross multiply
    217x = 325.02 × 171.40
  4. Step 4: Simplify right side
    217x = 55,708.43
  5. Step 5: Solve for x
    x = 55,708.43/217
  6. Step 6: Final answer
    x = 256.72

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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.