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Finding the Fourth Proportional to 564.12, 846.12 and 198.90

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Solution

The fourth proportional to 564.12, 846.12 and 198.90 is: 298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.12 : 846.12 = 198.90 : x
  2. Step 2: Convert to fraction form
    564.12/846.12 = 198.90/x
  3. Step 3: Cross multiply
    564.12x = 846.12 × 198.90
  4. Step 4: Simplify right side
    564.12x = 168,293.27
  5. Step 5: Solve for x
    x = 168,293.27/564.12
  6. Step 6: Final answer
    x = 298.33

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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.