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Finding the Fourth Proportional to 815.63, 1,223.45 and 199.33

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Solution

The fourth proportional to 815.63, 1,223.45 and 199.33 is: 298.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.63 : 1,223.45 = 199.33 : x
  2. Step 2: Convert to fraction form
    815.63/1,223.45 = 199.33/x
  3. Step 3: Cross multiply
    815.63x = 1,223.45 × 199.33
  4. Step 4: Simplify right side
    815.63x = 243,866.98
  5. Step 5: Solve for x
    x = 243,866.98/815.63
  6. Step 6: Final answer
    x = 298.99

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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.