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Finding the Fourth Proportional to 262.62, 393.75 and 194.22

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Solution

The fourth proportional to 262.62, 393.75 and 194.22 is: 291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.62 : 393.75 = 194.22 : x
  2. Step 2: Convert to fraction form
    262.62/393.75 = 194.22/x
  3. Step 3: Cross multiply
    262.62x = 393.75 × 194.22
  4. Step 4: Simplify right side
    262.62x = 76,474.13
  5. Step 5: Solve for x
    x = 76,474.13/262.62
  6. Step 6: Final answer
    x = 291.20

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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.