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Finding the Fourth Proportional to 265.11, 365.74 and 206.11

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Solution

The fourth proportional to 265.11, 365.74 and 206.11 is: 284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.11 : 365.74 = 206.11 : x
  2. Step 2: Convert to fraction form
    265.11/365.74 = 206.11/x
  3. Step 3: Cross multiply
    265.11x = 365.74 × 206.11
  4. Step 4: Simplify right side
    265.11x = 75,382.67
  5. Step 5: Solve for x
    x = 75,382.67/265.11
  6. Step 6: Final answer
    x = 284.34

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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.