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Finding the Fourth Proportional to 274.71, 378.67 and 204.66

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Solution

The fourth proportional to 274.71, 378.67 and 204.66 is: 282.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.71 : 378.67 = 204.66 : x
  2. Step 2: Convert to fraction form
    274.71/378.67 = 204.66/x
  3. Step 3: Cross multiply
    274.71x = 378.67 × 204.66
  4. Step 4: Simplify right side
    274.71x = 77,498.60
  5. Step 5: Solve for x
    x = 77,498.60/274.71
  6. Step 6: Final answer
    x = 282.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.