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Finding the Fourth Proportional to 265.20, 365.19 and 209.77

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Solution

The fourth proportional to 265.20, 365.19 and 209.77 is: 288.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.20 : 365.19 = 209.77 : x
  2. Step 2: Convert to fraction form
    265.20/365.19 = 209.77/x
  3. Step 3: Cross multiply
    265.20x = 365.19 × 209.77
  4. Step 4: Simplify right side
    265.20x = 76,605.91
  5. Step 5: Solve for x
    x = 76,605.91/265.20
  6. Step 6: Final answer
    x = 288.86

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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.