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Finding the Fourth Proportional to 227.10, 342 and 205.68

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Solution

The fourth proportional to 227.10, 342 and 205.68 is: 309.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.10 : 342 = 205.68 : x
  2. Step 2: Convert to fraction form
    227.10/342 = 205.68/x
  3. Step 3: Cross multiply
    227.10x = 342 × 205.68
  4. Step 4: Simplify right side
    227.10x = 70,342.56
  5. Step 5: Solve for x
    x = 70,342.56/227.10
  6. Step 6: Final answer
    x = 309.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.