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Finding the Fourth Proportional to 548.69, 757.16 and 300.00

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Solution

The fourth proportional to 548.69, 757.16 and 300.00 is: 413.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.69 : 757.16 = 300.00 : x
  2. Step 2: Convert to fraction form
    548.69/757.16 = 300.00/x
  3. Step 3: Cross multiply
    548.69x = 757.16 × 300.00
  4. Step 4: Simplify right side
    548.69x = 227,144.21
  5. Step 5: Solve for x
    x = 227,144.21/548.69
  6. Step 6: Final answer
    x = 413.98

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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.