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Finding the Fourth Proportional to 447.27, 617.24 and 248.10

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Solution

The fourth proportional to 447.27, 617.24 and 248.10 is: 342.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.27 : 617.24 = 248.10 : x
  2. Step 2: Convert to fraction form
    447.27/617.24 = 248.10/x
  3. Step 3: Cross multiply
    447.27x = 617.24 × 248.10
  4. Step 4: Simplify right side
    447.27x = 153,137.24
  5. Step 5: Solve for x
    x = 153,137.24/447.27
  6. Step 6: Final answer
    x = 342.38

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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.