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Finding the Fourth Proportional to 165.30, 246.87 and 138.27

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Solution

The fourth proportional to 165.30, 246.87 and 138.27 is: 206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.30 : 246.87 = 138.27 : x
  2. Step 2: Convert to fraction form
    165.30/246.87 = 138.27/x
  3. Step 3: Cross multiply
    165.30x = 246.87 × 138.27
  4. Step 4: Simplify right side
    165.30x = 34,134.71
  5. Step 5: Solve for x
    x = 34,134.71/165.30
  6. Step 6: Final answer
    x = 206.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.