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Finding the Fourth Proportional to 120.79, 165.59 and 120.44

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Solution

The fourth proportional to 120.79, 165.59 and 120.44 is: 165.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.79 : 165.59 = 120.44 : x
  2. Step 2: Convert to fraction form
    120.79/165.59 = 120.44/x
  3. Step 3: Cross multiply
    120.79x = 165.59 × 120.44
  4. Step 4: Simplify right side
    120.79x = 19,943.67
  5. Step 5: Solve for x
    x = 19,943.67/120.79
  6. Step 6: Final answer
    x = 165.11

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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.