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Finding the Fourth Proportional to 217.08, 325.39 and 134.81

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Solution

The fourth proportional to 217.08, 325.39 and 134.81 is: 202.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.08 : 325.39 = 134.81 : x
  2. Step 2: Convert to fraction form
    217.08/325.39 = 134.81/x
  3. Step 3: Cross multiply
    217.08x = 325.39 × 134.81
  4. Step 4: Simplify right side
    217.08x = 43,866.30
  5. Step 5: Solve for x
    x = 43,866.30/217.08
  6. Step 6: Final answer
    x = 202.08

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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.