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Finding the Fourth Proportional to 159.58, 220.13 and 120.22

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Solution

The fourth proportional to 159.58, 220.13 and 120.22 is: 165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.58 : 220.13 = 120.22 : x
  2. Step 2: Convert to fraction form
    159.58/220.13 = 120.22/x
  3. Step 3: Cross multiply
    159.58x = 220.13 × 120.22
  4. Step 4: Simplify right side
    159.58x = 26,464.03
  5. Step 5: Solve for x
    x = 26,464.03/159.58
  6. Step 6: Final answer
    x = 165.84

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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.