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Finding the Fourth Proportional to 120.29, 165.24 and 98.42

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Solution

The fourth proportional to 120.29, 165.24 and 98.42 is: 135.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.29 : 165.24 = 98.42 : x
  2. Step 2: Convert to fraction form
    120.29/165.24 = 98.42/x
  3. Step 3: Cross multiply
    120.29x = 165.24 × 98.42
  4. Step 4: Simplify right side
    120.29x = 16,262.09
  5. Step 5: Solve for x
    x = 16,262.09/120.29
  6. Step 6: Final answer
    x = 135.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.