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Finding the Fourth Proportional to 613.80, 920.77 and 223.99

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Solution

The fourth proportional to 613.80, 920.77 and 223.99 is: 336.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.80 : 920.77 = 223.99 : x
  2. Step 2: Convert to fraction form
    613.80/920.77 = 223.99/x
  3. Step 3: Cross multiply
    613.80x = 920.77 × 223.99
  4. Step 4: Simplify right side
    613.80x = 206,240.41
  5. Step 5: Solve for x
    x = 206,240.41/613.80
  6. Step 6: Final answer
    x = 336.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.