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Finding the Fourth Proportional to 394.45, 544.05 and 289.50

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Solution

The fourth proportional to 394.45, 544.05 and 289.50 is: 399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.45 : 544.05 = 289.50 : x
  2. Step 2: Convert to fraction form
    394.45/544.05 = 289.50/x
  3. Step 3: Cross multiply
    394.45x = 544.05 × 289.50
  4. Step 4: Simplify right side
    394.45x = 157,501.39
  5. Step 5: Solve for x
    x = 157,501.39/394.45
  6. Step 6: Final answer
    x = 399.30

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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.