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Finding the Fourth Proportional to 274.67, 381.05 and 261.30

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Solution

The fourth proportional to 274.67, 381.05 and 261.30 is: 362.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.67 : 381.05 = 261.30 : x
  2. Step 2: Convert to fraction form
    274.67/381.05 = 261.30/x
  3. Step 3: Cross multiply
    274.67x = 381.05 × 261.30
  4. Step 4: Simplify right side
    274.67x = 99,567.06
  5. Step 5: Solve for x
    x = 99,567.06/274.67
  6. Step 6: Final answer
    x = 362.50

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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.