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Finding the Fourth Proportional to 262.76, 364.79 and 254.84

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Solution

The fourth proportional to 262.76, 364.79 and 254.84 is: 353.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.76 : 364.79 = 254.84 : x
  2. Step 2: Convert to fraction form
    262.76/364.79 = 254.84/x
  3. Step 3: Cross multiply
    262.76x = 364.79 × 254.84
  4. Step 4: Simplify right side
    262.76x = 92,963.08
  5. Step 5: Solve for x
    x = 92,963.08/262.76
  6. Step 6: Final answer
    x = 353.79

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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.