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Finding the Fourth Proportional to 447.34, 617.35 and 248.17

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Solution

The fourth proportional to 447.34, 617.35 and 248.17 is: 342.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.34 : 617.35 = 248.17 : x
  2. Step 2: Convert to fraction form
    447.34/617.35 = 248.17/x
  3. Step 3: Cross multiply
    447.34x = 617.35 × 248.17
  4. Step 4: Simplify right side
    447.34x = 153,207.75
  5. Step 5: Solve for x
    x = 153,207.75/447.34
  6. Step 6: Final answer
    x = 342.49

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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.