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Finding the Fourth Proportional to 165.22, 246.70 and 140.92

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Solution

The fourth proportional to 165.22, 246.70 and 140.92 is: 210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.22 : 246.70 = 140.92 : x
  2. Step 2: Convert to fraction form
    165.22/246.70 = 140.92/x
  3. Step 3: Cross multiply
    165.22x = 246.70 × 140.92
  4. Step 4: Simplify right side
    165.22x = 34,765.32
  5. Step 5: Solve for x
    x = 34,765.32/165.22
  6. Step 6: Final answer
    x = 210.42

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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.