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Finding the Fourth Proportional to 165.87, 229.09 and 139.78

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Solution

The fourth proportional to 165.87, 229.09 and 139.78 is: 193.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.87 : 229.09 = 139.78 : x
  2. Step 2: Convert to fraction form
    165.87/229.09 = 139.78/x
  3. Step 3: Cross multiply
    165.87x = 229.09 × 139.78
  4. Step 4: Simplify right side
    165.87x = 32,022.20
  5. Step 5: Solve for x
    x = 32,022.20/165.87
  6. Step 6: Final answer
    x = 193.06

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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.