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Finding the Fourth Proportional to 274.22, 376 and 266.12

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Solution

The fourth proportional to 274.22, 376 and 266.12 is: 364.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.22 : 376 = 266.12 : x
  2. Step 2: Convert to fraction form
    274.22/376 = 266.12/x
  3. Step 3: Cross multiply
    274.22x = 376 × 266.12
  4. Step 4: Simplify right side
    274.22x = 100,061.12
  5. Step 5: Solve for x
    x = 100,061.12/274.22
  6. Step 6: Final answer
    x = 364.89

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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.