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Finding the Fourth Proportional to 793.19, 1,189.87 and 208.20

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Solution

The fourth proportional to 793.19, 1,189.87 and 208.20 is: 312.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.19 : 1,189.87 = 208.20 : x
  2. Step 2: Convert to fraction form
    793.19/1,189.87 = 208.20/x
  3. Step 3: Cross multiply
    793.19x = 1,189.87 × 208.20
  4. Step 4: Simplify right side
    793.19x = 247,730.93
  5. Step 5: Solve for x
    x = 247,730.93/793.19
  6. Step 6: Final answer
    x = 312.32

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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.