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Finding the Fourth Proportional to 219.31, 302.67 and 121.09

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Solution

The fourth proportional to 219.31, 302.67 and 121.09 is: 167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.31 : 302.67 = 121.09 : x
  2. Step 2: Convert to fraction form
    219.31/302.67 = 121.09/x
  3. Step 3: Cross multiply
    219.31x = 302.67 × 121.09
  4. Step 4: Simplify right side
    219.31x = 36,649.25
  5. Step 5: Solve for x
    x = 36,649.25/219.31
  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.