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Finding the Fourth Proportional to 262.83, 393.84 and 100.43

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Solution

The fourth proportional to 262.83, 393.84 and 100.43 is: 150.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.83 : 393.84 = 100.43 : x
  2. Step 2: Convert to fraction form
    262.83/393.84 = 100.43/x
  3. Step 3: Cross multiply
    262.83x = 393.84 × 100.43
  4. Step 4: Simplify right side
    262.83x = 39,553.35
  5. Step 5: Solve for x
    x = 39,553.35/262.83
  6. Step 6: Final answer
    x = 150.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.