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Finding the Fourth Proportional to 684.21, 1,026.31 and 197.28

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Solution

The fourth proportional to 684.21, 1,026.31 and 197.28 is: 295.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.21 : 1,026.31 = 197.28 : x
  2. Step 2: Convert to fraction form
    684.21/1,026.31 = 197.28/x
  3. Step 3: Cross multiply
    684.21x = 1,026.31 × 197.28
  4. Step 4: Simplify right side
    684.21x = 202,470.44
  5. Step 5: Solve for x
    x = 202,470.44/684.21
  6. Step 6: Final answer
    x = 295.92

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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.