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Finding the Fourth Proportional to 262.42, 393.08 and 194.02

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Solution

The fourth proportional to 262.42, 393.08 and 194.02 is: 290.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.42 : 393.08 = 194.02 : x
  2. Step 2: Convert to fraction form
    262.42/393.08 = 194.02/x
  3. Step 3: Cross multiply
    262.42x = 393.08 × 194.02
  4. Step 4: Simplify right side
    262.42x = 76,265.38
  5. Step 5: Solve for x
    x = 76,265.38/262.42
  6. Step 6: Final answer
    x = 290.62

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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.