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Finding the Fourth Proportional to 120.44, 165.51 and 117.20

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Solution

The fourth proportional to 120.44, 165.51 and 117.20 is: 161.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.44 : 165.51 = 117.20 : x
  2. Step 2: Convert to fraction form
    120.44/165.51 = 117.20/x
  3. Step 3: Cross multiply
    120.44x = 165.51 × 117.20
  4. Step 4: Simplify right side
    120.44x = 19,397.77
  5. Step 5: Solve for x
    x = 19,397.77/120.44
  6. Step 6: Final answer
    x = 161.06

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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.