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Finding the Fourth Proportional to 165.31, 247.25 and 119.14

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Solution

The fourth proportional to 165.31, 247.25 and 119.14 is: 178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.31 : 247.25 = 119.14 : x
  2. Step 2: Convert to fraction form
    165.31/247.25 = 119.14/x
  3. Step 3: Cross multiply
    165.31x = 247.25 × 119.14
  4. Step 4: Simplify right side
    165.31x = 29,457.04
  5. Step 5: Solve for x
    x = 29,457.04/165.31
  6. Step 6: Final answer
    x = 178.20

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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.