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Finding the Fourth Proportional to 223.26, 307.55 and 160.91

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Solution

The fourth proportional to 223.26, 307.55 and 160.91 is: 221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.26 : 307.55 = 160.91 : x
  2. Step 2: Convert to fraction form
    223.26/307.55 = 160.91/x
  3. Step 3: Cross multiply
    223.26x = 307.55 × 160.91
  4. Step 4: Simplify right side
    223.26x = 49,487.85
  5. Step 5: Solve for x
    x = 49,487.85/223.26
  6. Step 6: Final answer
    x = 221.66

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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.