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Finding the Fourth Proportional to 217.08, 299.50 and 138.25

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Solution

The fourth proportional to 217.08, 299.50 and 138.25 is: 190.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.08 : 299.50 = 138.25 : x
  2. Step 2: Convert to fraction form
    217.08/299.50 = 138.25/x
  3. Step 3: Cross multiply
    217.08x = 299.50 × 138.25
  4. Step 4: Simplify right side
    217.08x = 41,405.90
  5. Step 5: Solve for x
    x = 41,405.90/217.08
  6. Step 6: Final answer
    x = 190.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.