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Finding the Fourth Proportional to 159.46, 219.90 and 120.21

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Solution

The fourth proportional to 159.46, 219.90 and 120.21 is: 165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.46 : 219.90 = 120.21 : x
  2. Step 2: Convert to fraction form
    159.46/219.90 = 120.21/x
  3. Step 3: Cross multiply
    159.46x = 219.90 × 120.21
  4. Step 4: Simplify right side
    159.46x = 26,433.75
  5. Step 5: Solve for x
    x = 26,433.75/159.46
  6. Step 6: Final answer
    x = 165.77

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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.