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Finding the Fourth Proportional to 447.71, 617.75 and 270.62

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Solution

The fourth proportional to 447.71, 617.75 and 270.62 is: 373.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.71 : 617.75 = 270.62 : x
  2. Step 2: Convert to fraction form
    447.71/617.75 = 270.62/x
  3. Step 3: Cross multiply
    447.71x = 617.75 × 270.62
  4. Step 4: Simplify right side
    447.71x = 167,171.06
  5. Step 5: Solve for x
    x = 167,171.06/447.71
  6. Step 6: Final answer
    x = 373.40

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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.