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Finding the Fourth Proportional to 274.84, 381 and 260.75

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Solution

The fourth proportional to 274.84, 381 and 260.75 is: 361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.84 : 381 = 260.75 : x
  2. Step 2: Convert to fraction form
    274.84/381 = 260.75/x
  3. Step 3: Cross multiply
    274.84x = 381 × 260.75
  4. Step 4: Simplify right side
    274.84x = 99,345.75
  5. Step 5: Solve for x
    x = 99,345.75/274.84
  6. Step 6: Final answer
    x = 361.47

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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.