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Finding the Fourth Proportional to 226.12, 337.93 and 165.40

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Solution

The fourth proportional to 226.12, 337.93 and 165.40 is: 247.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.12 : 337.93 = 165.40 : x
  2. Step 2: Convert to fraction form
    226.12/337.93 = 165.40/x
  3. Step 3: Cross multiply
    226.12x = 337.93 × 165.40
  4. Step 4: Simplify right side
    226.12x = 55,893.62
  5. Step 5: Solve for x
    x = 55,893.62/226.12
  6. Step 6: Final answer
    x = 247.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.