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Finding the Fourth Proportional to 165.05, 247.48 and 130.71

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Solution

The fourth proportional to 165.05, 247.48 and 130.71 is: 195.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.05 : 247.48 = 130.71 : x
  2. Step 2: Convert to fraction form
    165.05/247.48 = 130.71/x
  3. Step 3: Cross multiply
    165.05x = 247.48 × 130.71
  4. Step 4: Simplify right side
    165.05x = 32,348.11
  5. Step 5: Solve for x
    x = 32,348.11/165.05
  6. Step 6: Final answer
    x = 195.99

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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.