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Finding the Fourth Proportional to 308.80, 427.14 and 274.36

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Solution

The fourth proportional to 308.80, 427.14 and 274.36 is: 379.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.80 : 427.14 = 274.36 : x
  2. Step 2: Convert to fraction form
    308.80/427.14 = 274.36/x
  3. Step 3: Cross multiply
    308.80x = 427.14 × 274.36
  4. Step 4: Simplify right side
    308.80x = 117,190.13
  5. Step 5: Solve for x
    x = 117,190.13/308.80
  6. Step 6: Final answer
    x = 379.50

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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.