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Finding the Fourth Proportional to 274.16, 377.34 and 254.27

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Solution

The fourth proportional to 274.16, 377.34 and 254.27 is: 349.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.16 : 377.34 = 254.27 : x
  2. Step 2: Convert to fraction form
    274.16/377.34 = 254.27/x
  3. Step 3: Cross multiply
    274.16x = 377.34 × 254.27
  4. Step 4: Simplify right side
    274.16x = 95,946.24
  5. Step 5: Solve for x
    x = 95,946.24/274.16
  6. Step 6: Final answer
    x = 349.96

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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.