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Finding the Fourth Proportional to 262.39, 391.94 and 261.17

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Solution

The fourth proportional to 262.39, 391.94 and 261.17 is: 390.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.39 : 391.94 = 261.17 : x
  2. Step 2: Convert to fraction form
    262.39/391.94 = 261.17/x
  3. Step 3: Cross multiply
    262.39x = 391.94 × 261.17
  4. Step 4: Simplify right side
    262.39x = 102,362.64
  5. Step 5: Solve for x
    x = 102,362.64/262.39
  6. Step 6: Final answer
    x = 390.12

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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.