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Finding the Fourth Proportional to 219.39, 302.76 and 119.80

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Solution

The fourth proportional to 219.39, 302.76 and 119.80 is: 165.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.39 : 302.76 = 119.80 : x
  2. Step 2: Convert to fraction form
    219.39/302.76 = 119.80/x
  3. Step 3: Cross multiply
    219.39x = 302.76 × 119.80
  4. Step 4: Simplify right side
    219.39x = 36,269.97
  5. Step 5: Solve for x
    x = 36,269.97/219.39
  6. Step 6: Final answer
    x = 165.32

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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.