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Finding the Fourth Proportional to 262.08, 391.60 and 193.12

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Solution

The fourth proportional to 262.08, 391.60 and 193.12 is: 288.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.08 : 391.60 = 193.12 : x
  2. Step 2: Convert to fraction form
    262.08/391.60 = 193.12/x
  3. Step 3: Cross multiply
    262.08x = 391.60 × 193.12
  4. Step 4: Simplify right side
    262.08x = 75,625.79
  5. Step 5: Solve for x
    x = 75,625.79/262.08
  6. Step 6: Final answer
    x = 288.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.