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Finding the Fourth Proportional to 815.51, 1,223.26 and 199.22

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Solution

The fourth proportional to 815.51, 1,223.26 and 199.22 is: 298.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.51 : 1,223.26 = 199.22 : x
  2. Step 2: Convert to fraction form
    815.51/1,223.26 = 199.22/x
  3. Step 3: Cross multiply
    815.51x = 1,223.26 × 199.22
  4. Step 4: Simplify right side
    815.51x = 243,691.24
  5. Step 5: Solve for x
    x = 243,691.24/815.51
  6. Step 6: Final answer
    x = 298.82

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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.