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Finding the Fourth Proportional to 547.98, 756.20 and 299.30

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Solution

The fourth proportional to 547.98, 756.20 and 299.30 is: 413.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.98 : 756.20 = 299.30 : x
  2. Step 2: Convert to fraction form
    547.98/756.20 = 299.30/x
  3. Step 3: Cross multiply
    547.98x = 756.20 × 299.30
  4. Step 4: Simplify right side
    547.98x = 226,327.63
  5. Step 5: Solve for x
    x = 226,327.63/547.98
  6. Step 6: Final answer
    x = 413.02

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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.