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Finding the Fourth Proportional to 447.29, 617.29 and 270.29

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Solution

The fourth proportional to 447.29, 617.29 and 270.29 is: 373.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.29 : 617.29 = 270.29 : x
  2. Step 2: Convert to fraction form
    447.29/617.29 = 270.29/x
  3. Step 3: Cross multiply
    447.29x = 617.29 × 270.29
  4. Step 4: Simplify right side
    447.29x = 166,848.86
  5. Step 5: Solve for x
    x = 166,848.86/447.29
  6. Step 6: Final answer
    x = 373.02

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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.