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Finding the Fourth Proportional to 219.14, 302.42 and 120.91

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Solution

The fourth proportional to 219.14, 302.42 and 120.91 is: 166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.14 : 302.42 = 120.91 : x
  2. Step 2: Convert to fraction form
    219.14/302.42 = 120.91/x
  3. Step 3: Cross multiply
    219.14x = 302.42 × 120.91
  4. Step 4: Simplify right side
    219.14x = 36,563.49
  5. Step 5: Solve for x
    x = 36,563.49/219.14
  6. Step 6: Final answer
    x = 166.85

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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.