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Finding the Fourth Proportional to 120.38, 165.94 and 83.48

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Solution

The fourth proportional to 120.38, 165.94 and 83.48 is: 115.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.38 : 165.94 = 83.48 : x
  2. Step 2: Convert to fraction form
    120.38/165.94 = 83.48/x
  3. Step 3: Cross multiply
    120.38x = 165.94 × 83.48
  4. Step 4: Simplify right side
    120.38x = 13,851.63
  5. Step 5: Solve for x
    x = 13,851.63/120.38
  6. Step 6: Final answer
    x = 115.07

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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.