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Finding the Fourth Proportional to 406.95, 610.51 and 198.71

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Solution

The fourth proportional to 406.95, 610.51 and 198.71 is: 298.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.95 : 610.51 = 198.71 : x
  2. Step 2: Convert to fraction form
    406.95/610.51 = 198.71/x
  3. Step 3: Cross multiply
    406.95x = 610.51 × 198.71
  4. Step 4: Simplify right side
    406.95x = 121,314.44
  5. Step 5: Solve for x
    x = 121,314.44/406.95
  6. Step 6: Final answer
    x = 298.11

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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.