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Finding the Fourth Proportional to 219.20, 302.51 and 120.96

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Solution

The fourth proportional to 219.20, 302.51 and 120.96 is: 166.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.20 : 302.51 = 120.96 : x
  2. Step 2: Convert to fraction form
    219.20/302.51 = 120.96/x
  3. Step 3: Cross multiply
    219.20x = 302.51 × 120.96
  4. Step 4: Simplify right side
    219.20x = 36,591.91
  5. Step 5: Solve for x
    x = 36,591.91/219.20
  6. Step 6: Final answer
    x = 166.94

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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.