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Finding the Fourth Proportional to 119.80, 165.30 and 82.90

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Solution

The fourth proportional to 119.80, 165.30 and 82.90 is: 114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.80 : 165.30 = 82.90 : x
  2. Step 2: Convert to fraction form
    119.80/165.30 = 82.90/x
  3. Step 3: Cross multiply
    119.80x = 165.30 × 82.90
  4. Step 4: Simplify right side
    119.80x = 13,703.37
  5. Step 5: Solve for x
    x = 13,703.37/119.80
  6. Step 6: Final answer
    x = 114.39

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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.