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Finding the Fourth Proportional to 447.08, 617.10 and 272.74

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Solution

The fourth proportional to 447.08, 617.10 and 272.74 is: 376.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.08 : 617.10 = 272.74 : x
  2. Step 2: Convert to fraction form
    447.08/617.10 = 272.74/x
  3. Step 3: Cross multiply
    447.08x = 617.10 × 272.74
  4. Step 4: Simplify right side
    447.08x = 168,307.85
  5. Step 5: Solve for x
    x = 168,307.85/447.08
  6. Step 6: Final answer
    x = 376.46

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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.