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Finding the Fourth Proportional to 274.04, 375.64 and 270.28

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Solution

The fourth proportional to 274.04, 375.64 and 270.28 is: 370.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.04 : 375.64 = 270.28 : x
  2. Step 2: Convert to fraction form
    274.04/375.64 = 270.28/x
  3. Step 3: Cross multiply
    274.04x = 375.64 × 270.28
  4. Step 4: Simplify right side
    274.04x = 101,527.98
  5. Step 5: Solve for x
    x = 101,527.98/274.04
  6. Step 6: Final answer
    x = 370.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.