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Finding the Fourth Proportional to 397.80, 548.63 and 299.86

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Solution

The fourth proportional to 397.80, 548.63 and 299.86 is: 413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.80 : 548.63 = 299.86 : x
  2. Step 2: Convert to fraction form
    397.80/548.63 = 299.86/x
  3. Step 3: Cross multiply
    397.80x = 548.63 × 299.86
  4. Step 4: Simplify right side
    397.80x = 164,512.19
  5. Step 5: Solve for x
    x = 164,512.19/397.80
  6. Step 6: Final answer
    x = 413.56

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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.