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Finding the Fourth Proportional to 274.85, 376.54 and 264.45

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Solution

The fourth proportional to 274.85, 376.54 and 264.45 is: 362.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.85 : 376.54 = 264.45 : x
  2. Step 2: Convert to fraction form
    274.85/376.54 = 264.45/x
  3. Step 3: Cross multiply
    274.85x = 376.54 × 264.45
  4. Step 4: Simplify right side
    274.85x = 99,578.24
  5. Step 5: Solve for x
    x = 99,578.24/274.85
  6. Step 6: Final answer
    x = 362.29

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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.