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Finding the Fourth Proportional to 223.08, 307.44 and 160.81

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Solution

The fourth proportional to 223.08, 307.44 and 160.81 is: 221.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.08 : 307.44 = 160.81 : x
  2. Step 2: Convert to fraction form
    223.08/307.44 = 160.81/x
  3. Step 3: Cross multiply
    223.08x = 307.44 × 160.81
  4. Step 4: Simplify right side
    223.08x = 49,437.09
  5. Step 5: Solve for x
    x = 49,437.09/223.08
  6. Step 6: Final answer
    x = 221.61

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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.