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Finding the Fourth Proportional to 548.50, 756.95 and 299.83

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Solution

The fourth proportional to 548.50, 756.95 and 299.83 is: 413.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.50 : 756.95 = 299.83 : x
  2. Step 2: Convert to fraction form
    548.50/756.95 = 299.83/x
  3. Step 3: Cross multiply
    548.50x = 756.95 × 299.83
  4. Step 4: Simplify right side
    548.50x = 226,952.93
  5. Step 5: Solve for x
    x = 226,952.93/548.50
  6. Step 6: Final answer
    x = 413.77

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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.