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Finding the Fourth Proportional to 446.33, 668.97 and 263.87

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Solution

The fourth proportional to 446.33, 668.97 and 263.87 is: 395.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.33 : 668.97 = 263.87 : x
  2. Step 2: Convert to fraction form
    446.33/668.97 = 263.87/x
  3. Step 3: Cross multiply
    446.33x = 668.97 × 263.87
  4. Step 4: Simplify right side
    446.33x = 176,522.79
  5. Step 5: Solve for x
    x = 176,522.79/446.33
  6. Step 6: Final answer
    x = 395.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.