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Finding the Fourth Proportional to 262.64, 364.40 and 249.28

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Solution

The fourth proportional to 262.64, 364.40 and 249.28 is: 345.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.64 : 364.40 = 249.28 : x
  2. Step 2: Convert to fraction form
    262.64/364.40 = 249.28/x
  3. Step 3: Cross multiply
    262.64x = 364.40 × 249.28
  4. Step 4: Simplify right side
    262.64x = 90,836.41
  5. Step 5: Solve for x
    x = 90,836.41/262.64
  6. Step 6: Final answer
    x = 345.86

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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.