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Finding the Fourth Proportional to 323.48, 445.55 and 248.65

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Solution

The fourth proportional to 323.48, 445.55 and 248.65 is: 342.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.48 : 445.55 = 248.65 : x
  2. Step 2: Convert to fraction form
    323.48/445.55 = 248.65/x
  3. Step 3: Cross multiply
    323.48x = 445.55 × 248.65
  4. Step 4: Simplify right side
    323.48x = 110,784.74
  5. Step 5: Solve for x
    x = 110,784.74/323.48
  6. Step 6: Final answer
    x = 342.48

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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.