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Finding the Fourth Proportional to 447.28, 616.67 and 289.63

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Solution

The fourth proportional to 447.28, 616.67 and 289.63 is: 399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.28 : 616.67 = 289.63 : x
  2. Step 2: Convert to fraction form
    447.28/616.67 = 289.63/x
  3. Step 3: Cross multiply
    447.28x = 616.67 × 289.63
  4. Step 4: Simplify right side
    447.28x = 178,608.40
  5. Step 5: Solve for x
    x = 178,608.40/447.28
  6. Step 6: Final answer
    x = 399.32

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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.