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Finding the Fourth Proportional to 213.50, 294.75 and 161.66

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Solution

The fourth proportional to 213.50, 294.75 and 161.66 is: 223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.50 : 294.75 = 161.66 : x
  2. Step 2: Convert to fraction form
    213.50/294.75 = 161.66/x
  3. Step 3: Cross multiply
    213.50x = 294.75 × 161.66
  4. Step 4: Simplify right side
    213.50x = 47,649.29
  5. Step 5: Solve for x
    x = 47,649.29/213.50
  6. Step 6: Final answer
    x = 223.18

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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.