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Finding the Fourth Proportional to 265.48, 365.11 and 209.59

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Solution

The fourth proportional to 265.48, 365.11 and 209.59 is: 288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.48 : 365.11 = 209.59 : x
  2. Step 2: Convert to fraction form
    265.48/365.11 = 209.59/x
  3. Step 3: Cross multiply
    265.48x = 365.11 × 209.59
  4. Step 4: Simplify right side
    265.48x = 76,521.97
  5. Step 5: Solve for x
    x = 76,521.97/265.48
  6. Step 6: Final answer
    x = 288.24

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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.