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Finding the Fourth Proportional to 227.07, 342.18 and 205.47

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Solution

The fourth proportional to 227.07, 342.18 and 205.47 is: 309.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.07 : 342.18 = 205.47 : x
  2. Step 2: Convert to fraction form
    227.07/342.18 = 205.47/x
  3. Step 3: Cross multiply
    227.07x = 342.18 × 205.47
  4. Step 4: Simplify right side
    227.07x = 70,307.72
  5. Step 5: Solve for x
    x = 70,307.72/227.07
  6. Step 6: Final answer
    x = 309.63

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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.