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Finding the Fourth Proportional to 165.52, 247.92 and 138.10

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Solution

The fourth proportional to 165.52, 247.92 and 138.10 is: 206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.52 : 247.92 = 138.10 : x
  2. Step 2: Convert to fraction form
    165.52/247.92 = 138.10/x
  3. Step 3: Cross multiply
    165.52x = 247.92 × 138.10
  4. Step 4: Simplify right side
    165.52x = 34,237.75
  5. Step 5: Solve for x
    x = 34,237.75/165.52
  6. Step 6: Final answer
    x = 206.85

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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.