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Finding the Fourth Proportional to 219.34, 302.69 and 121.09

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Solution

The fourth proportional to 219.34, 302.69 and 121.09 is: 167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.34 : 302.69 = 121.09 : x
  2. Step 2: Convert to fraction form
    219.34/302.69 = 121.09/x
  3. Step 3: Cross multiply
    219.34x = 302.69 × 121.09
  4. Step 4: Simplify right side
    219.34x = 36,652.13
  5. Step 5: Solve for x
    x = 36,652.13/219.34
  6. Step 6: Final answer
    x = 167.11

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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.