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Finding the Fourth Proportional to 265.86, 366.84 and 226.68

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Solution

The fourth proportional to 265.86, 366.84 and 226.68 is: 312.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.86 : 366.84 = 226.68 : x
  2. Step 2: Convert to fraction form
    265.86/366.84 = 226.68/x
  3. Step 3: Cross multiply
    265.86x = 366.84 × 226.68
  4. Step 4: Simplify right side
    265.86x = 83,155.29
  5. Step 5: Solve for x
    x = 83,155.29/265.86
  6. Step 6: Final answer
    x = 312.78

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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.