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Finding the Fourth Proportional to 226.80, 340.12 and 117.08

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Solution

The fourth proportional to 226.80, 340.12 and 117.08 is: 175.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.80 : 340.12 = 117.08 : x
  2. Step 2: Convert to fraction form
    226.80/340.12 = 117.08/x
  3. Step 3: Cross multiply
    226.80x = 340.12 × 117.08
  4. Step 4: Simplify right side
    226.80x = 39,820.97
  5. Step 5: Solve for x
    x = 39,820.97/226.80
  6. Step 6: Final answer
    x = 175.58

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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.