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Finding the Fourth Proportional to 323.99, 446.77 and 277.51

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Solution

The fourth proportional to 323.99, 446.77 and 277.51 is: 382.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.99 : 446.77 = 277.51 : x
  2. Step 2: Convert to fraction form
    323.99/446.77 = 277.51/x
  3. Step 3: Cross multiply
    323.99x = 446.77 × 277.51
  4. Step 4: Simplify right side
    323.99x = 123,983.14
  5. Step 5: Solve for x
    x = 123,983.14/323.99
  6. Step 6: Final answer
    x = 382.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.