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Finding the Fourth Proportional to 165.96, 247.92 and 140.16

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Solution

The fourth proportional to 165.96, 247.92 and 140.16 is: 209.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.96 : 247.92 = 140.16 : x
  2. Step 2: Convert to fraction form
    165.96/247.92 = 140.16/x
  3. Step 3: Cross multiply
    165.96x = 247.92 × 140.16
  4. Step 4: Simplify right side
    165.96x = 34,748.47
  5. Step 5: Solve for x
    x = 34,748.47/165.96
  6. Step 6: Final answer
    x = 209.38

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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.