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Finding the Fourth Proportional to 447.64, 617.58 and 272.92

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Solution

The fourth proportional to 447.64, 617.58 and 272.92 is: 376.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.64 : 617.58 = 272.92 : x
  2. Step 2: Convert to fraction form
    447.64/617.58 = 272.92/x
  3. Step 3: Cross multiply
    447.64x = 617.58 × 272.92
  4. Step 4: Simplify right side
    447.64x = 168,549.93
  5. Step 5: Solve for x
    x = 168,549.93/447.64
  6. Step 6: Final answer
    x = 376.53

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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.