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Finding the Fourth Proportional to 362.40, 544.07 and 298.31

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Solution

The fourth proportional to 362.40, 544.07 and 298.31 is: 447.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.40 : 544.07 = 298.31 : x
  2. Step 2: Convert to fraction form
    362.40/544.07 = 298.31/x
  3. Step 3: Cross multiply
    362.40x = 544.07 × 298.31
  4. Step 4: Simplify right side
    362.40x = 162,299.55
  5. Step 5: Solve for x
    x = 162,299.55/362.40
  6. Step 6: Final answer
    x = 447.85

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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.