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Finding the Fourth Proportional to 226.77, 339.74 and 165.61

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Solution

The fourth proportional to 226.77, 339.74 and 165.61 is: 248.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.77 : 339.74 = 165.61 : x
  2. Step 2: Convert to fraction form
    226.77/339.74 = 165.61/x
  3. Step 3: Cross multiply
    226.77x = 339.74 × 165.61
  4. Step 4: Simplify right side
    226.77x = 56,264.34
  5. Step 5: Solve for x
    x = 56,264.34/226.77
  6. Step 6: Final answer
    x = 248.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.