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Finding the Fourth Proportional to 119.68, 165.20 and 82.32

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Solution

The fourth proportional to 119.68, 165.20 and 82.32 is: 113.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.68 : 165.20 = 82.32 : x
  2. Step 2: Convert to fraction form
    119.68/165.20 = 82.32/x
  3. Step 3: Cross multiply
    119.68x = 165.20 × 82.32
  4. Step 4: Simplify right side
    119.68x = 13,599.26
  5. Step 5: Solve for x
    x = 13,599.26/119.68
  6. Step 6: Final answer
    x = 113.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.