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Finding the Fourth Proportional to 397.20, 548.32 and 298.99

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Solution

The fourth proportional to 397.20, 548.32 and 298.99 is: 412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.20 : 548.32 = 298.99 : x
  2. Step 2: Convert to fraction form
    397.20/548.32 = 298.99/x
  3. Step 3: Cross multiply
    397.20x = 548.32 × 298.99
  4. Step 4: Simplify right side
    397.20x = 163,942.70
  5. Step 5: Solve for x
    x = 163,942.70/397.20
  6. Step 6: Final answer
    x = 412.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.