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Finding the Fourth Proportional to 398.06, 548.73 and 299.64

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Solution

The fourth proportional to 398.06, 548.73 and 299.64 is: 413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.06 : 548.73 = 299.64 : x
  2. Step 2: Convert to fraction form
    398.06/548.73 = 299.64/x
  3. Step 3: Cross multiply
    398.06x = 548.73 × 299.64
  4. Step 4: Simplify right side
    398.06x = 164,421.46
  5. Step 5: Solve for x
    x = 164,421.46/398.06
  6. Step 6: Final answer
    x = 413.06

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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.