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Finding the Fourth Proportional to 262.25, 393.08 and 107.98

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Solution

The fourth proportional to 262.25, 393.08 and 107.98 is: 161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.25 : 393.08 = 107.98 : x
  2. Step 2: Convert to fraction form
    262.25/393.08 = 107.98/x
  3. Step 3: Cross multiply
    262.25x = 393.08 × 107.98
  4. Step 4: Simplify right side
    262.25x = 42,444.78
  5. Step 5: Solve for x
    x = 42,444.78/262.25
  6. Step 6: Final answer
    x = 161.85

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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.