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Finding the Fourth Proportional to 262.84, 395.59 and 198.18

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Solution

The fourth proportional to 262.84, 395.59 and 198.18 is: 298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.84 : 395.59 = 198.18 : x
  2. Step 2: Convert to fraction form
    262.84/395.59 = 198.18/x
  3. Step 3: Cross multiply
    262.84x = 395.59 × 198.18
  4. Step 4: Simplify right side
    262.84x = 78,398.03
  5. Step 5: Solve for x
    x = 78,398.03/262.84
  6. Step 6: Final answer
    x = 298.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.