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Finding the Fourth Proportional to 447.67, 668.78 and 356.48

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Solution

The fourth proportional to 447.67, 668.78 and 356.48 is: 532.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.67 : 668.78 = 356.48 : x
  2. Step 2: Convert to fraction form
    447.67/668.78 = 356.48/x
  3. Step 3: Cross multiply
    447.67x = 668.78 × 356.48
  4. Step 4: Simplify right side
    447.67x = 238,405.41
  5. Step 5: Solve for x
    x = 238,405.41/447.67
  6. Step 6: Final answer
    x = 532.55

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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.