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Finding the Fourth Proportional to 274.62, 380.75 and 265.62

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Solution

The fourth proportional to 274.62, 380.75 and 265.62 is: 368.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.62 : 380.75 = 265.62 : x
  2. Step 2: Convert to fraction form
    274.62/380.75 = 265.62/x
  3. Step 3: Cross multiply
    274.62x = 380.75 × 265.62
  4. Step 4: Simplify right side
    274.62x = 101,133.49
  5. Step 5: Solve for x
    x = 101,133.49/274.62
  6. Step 6: Final answer
    x = 368.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.