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Finding the Fourth Proportional to 447.76, 617.81 and 261.28

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Solution

The fourth proportional to 447.76, 617.81 and 261.28 is: 360.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.76 : 617.81 = 261.28 : x
  2. Step 2: Convert to fraction form
    447.76/617.81 = 261.28/x
  3. Step 3: Cross multiply
    447.76x = 617.81 × 261.28
  4. Step 4: Simplify right side
    447.76x = 161,421.40
  5. Step 5: Solve for x
    x = 161,421.40/447.76
  6. Step 6: Final answer
    x = 360.51

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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.