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Finding the Fourth Proportional to 219.88, 303.50 and 161.83

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Solution

The fourth proportional to 219.88, 303.50 and 161.83 is: 223.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.88 : 303.50 = 161.83 : x
  2. Step 2: Convert to fraction form
    219.88/303.50 = 161.83/x
  3. Step 3: Cross multiply
    219.88x = 303.50 × 161.83
  4. Step 4: Simplify right side
    219.88x = 49,113.08
  5. Step 5: Solve for x
    x = 49,113.08/219.88
  6. Step 6: Final answer
    x = 223.37

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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.