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Finding the Fourth Proportional to 227.57, 341.34 and 135.65

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Solution

The fourth proportional to 227.57, 341.34 and 135.65 is: 203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.57 : 341.34 = 135.65 : x
  2. Step 2: Convert to fraction form
    227.57/341.34 = 135.65/x
  3. Step 3: Cross multiply
    227.57x = 341.34 × 135.65
  4. Step 4: Simplify right side
    227.57x = 46,303.50
  5. Step 5: Solve for x
    x = 46,303.50/227.57
  6. Step 6: Final answer
    x = 203.47

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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.