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Finding the Fourth Proportional to 227.25, 340.95 and 129.69

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Solution

The fourth proportional to 227.25, 340.95 and 129.69 is: 194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.25 : 340.95 = 129.69 : x
  2. Step 2: Convert to fraction form
    227.25/340.95 = 129.69/x
  3. Step 3: Cross multiply
    227.25x = 340.95 × 129.69
  4. Step 4: Simplify right side
    227.25x = 44,216.42
  5. Step 5: Solve for x
    x = 44,216.42/227.25
  6. Step 6: Final answer
    x = 194.58

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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.