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Finding the Fourth Proportional to 165.08, 247.42 and 132.78

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Solution

The fourth proportional to 165.08, 247.42 and 132.78 is: 199.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.08 : 247.42 = 132.78 : x
  2. Step 2: Convert to fraction form
    165.08/247.42 = 132.78/x
  3. Step 3: Cross multiply
    165.08x = 247.42 × 132.78
  4. Step 4: Simplify right side
    165.08x = 32,852.43
  5. Step 5: Solve for x
    x = 32,852.43/165.08
  6. Step 6: Final answer
    x = 199.02

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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.