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Finding the Fourth Proportional to 447.88, 617.98 and 261.28

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Solution

The fourth proportional to 447.88, 617.98 and 261.28 is: 360.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.88 : 617.98 = 261.28 : x
  2. Step 2: Convert to fraction form
    447.88/617.98 = 261.28/x
  3. Step 3: Cross multiply
    447.88x = 617.98 × 261.28
  4. Step 4: Simplify right side
    447.88x = 161,465.81
  5. Step 5: Solve for x
    x = 161,465.81/447.88
  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.