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Finding the Fourth Proportional to 394.48, 544.10 and 289.60

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Solution

The fourth proportional to 394.48, 544.10 and 289.60 is: 399.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.48 : 544.10 = 289.60 : x
  2. Step 2: Convert to fraction form
    394.48/544.10 = 289.60/x
  3. Step 3: Cross multiply
    394.48x = 544.10 × 289.60
  4. Step 4: Simplify right side
    394.48x = 157,571.36
  5. Step 5: Solve for x
    x = 157,571.36/394.48
  6. Step 6: Final answer
    x = 399.44

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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.