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Finding the Fourth Proportional to 447.05, 617.03 and 281.15

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Solution

The fourth proportional to 447.05, 617.03 and 281.15 is: 388.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.05 : 617.03 = 281.15 : x
  2. Step 2: Convert to fraction form
    447.05/617.03 = 281.15/x
  3. Step 3: Cross multiply
    447.05x = 617.03 × 281.15
  4. Step 4: Simplify right side
    447.05x = 173,477.98
  5. Step 5: Solve for x
    x = 173,477.98/447.05
  6. Step 6: Final answer
    x = 388.05

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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.