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Finding the Fourth Proportional to 161.11, 219.25 and 160.30

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Solution

The fourth proportional to 161.11, 219.25 and 160.30 is: 218.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.11 : 219.25 = 160.30 : x
  2. Step 2: Convert to fraction form
    161.11/219.25 = 160.30/x
  3. Step 3: Cross multiply
    161.11x = 219.25 × 160.30
  4. Step 4: Simplify right side
    161.11x = 35,145.78
  5. Step 5: Solve for x
    x = 35,145.78/161.11
  6. Step 6: Final answer
    x = 218.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.