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Finding the Fourth Proportional to 226.55, 340.04 and 135.43

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Solution

The fourth proportional to 226.55, 340.04 and 135.43 is: 203.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.55 : 340.04 = 135.43 : x
  2. Step 2: Convert to fraction form
    226.55/340.04 = 135.43/x
  3. Step 3: Cross multiply
    226.55x = 340.04 × 135.43
  4. Step 4: Simplify right side
    226.55x = 46,051.11
  5. Step 5: Solve for x
    x = 46,051.11/226.55
  6. Step 6: Final answer
    x = 203.27

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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.