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Finding the Fourth Proportional to 262.21, 363.51 and 248.34

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Solution

The fourth proportional to 262.21, 363.51 and 248.34 is: 344.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.21 : 363.51 = 248.34 : x
  2. Step 2: Convert to fraction form
    262.21/363.51 = 248.34/x
  3. Step 3: Cross multiply
    262.21x = 363.51 × 248.34
  4. Step 4: Simplify right side
    262.21x = 90,274.07
  5. Step 5: Solve for x
    x = 90,274.07/262.21
  6. Step 6: Final answer
    x = 344.28

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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.