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Finding the Fourth Proportional to 262.02, 393.24 and 198.30

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Solution

The fourth proportional to 262.02, 393.24 and 198.30 is: 297.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.02 : 393.24 = 198.30 : x
  2. Step 2: Convert to fraction form
    262.02/393.24 = 198.30/x
  3. Step 3: Cross multiply
    262.02x = 393.24 × 198.30
  4. Step 4: Simplify right side
    262.02x = 77,979.49
  5. Step 5: Solve for x
    x = 77,979.49/262.02
  6. Step 6: Final answer
    x = 297.61

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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.