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Finding the Fourth Proportional to 264.96, 365.22 and 209.61

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Solution

The fourth proportional to 264.96, 365.22 and 209.61 is: 288.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.96 : 365.22 = 209.61 : x
  2. Step 2: Convert to fraction form
    264.96/365.22 = 209.61/x
  3. Step 3: Cross multiply
    264.96x = 365.22 × 209.61
  4. Step 4: Simplify right side
    264.96x = 76,553.76
  5. Step 5: Solve for x
    x = 76,553.76/264.96
  6. Step 6: Final answer
    x = 288.93

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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.