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Finding the Fourth Proportional to 477.37, 716.19 and 169.27

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Solution

The fourth proportional to 477.37, 716.19 and 169.27 is: 253.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.37 : 716.19 = 169.27 : x
  2. Step 2: Convert to fraction form
    477.37/716.19 = 169.27/x
  3. Step 3: Cross multiply
    477.37x = 716.19 × 169.27
  4. Step 4: Simplify right side
    477.37x = 121,229.48
  5. Step 5: Solve for x
    x = 121,229.48/477.37
  6. Step 6: Final answer
    x = 253.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.