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Finding the Fourth Proportional to 447.45, 617.58 and 261.03

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Solution

The fourth proportional to 447.45, 617.58 and 261.03 is: 360.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.45 : 617.58 = 261.03 : x
  2. Step 2: Convert to fraction form
    447.45/617.58 = 261.03/x
  3. Step 3: Cross multiply
    447.45x = 617.58 × 261.03
  4. Step 4: Simplify right side
    447.45x = 161,206.91
  5. Step 5: Solve for x
    x = 161,206.91/447.45
  6. Step 6: Final answer
    x = 360.28

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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.