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Finding the Fourth Proportional to 262.63, 391.89 and 261.11

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Solution

The fourth proportional to 262.63, 391.89 and 261.11 is: 389.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.63 : 391.89 = 261.11 : x
  2. Step 2: Convert to fraction form
    262.63/391.89 = 261.11/x
  3. Step 3: Cross multiply
    262.63x = 391.89 × 261.11
  4. Step 4: Simplify right side
    262.63x = 102,328.36
  5. Step 5: Solve for x
    x = 102,328.36/262.63
  6. Step 6: Final answer
    x = 389.63

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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.