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Finding the Fourth Proportional to 564.03, 846.09 and 198.75

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Solution

The fourth proportional to 564.03, 846.09 and 198.75 is: 298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.03 : 846.09 = 198.75 : x
  2. Step 2: Convert to fraction form
    564.03/846.09 = 198.75/x
  3. Step 3: Cross multiply
    564.03x = 846.09 × 198.75
  4. Step 4: Simplify right side
    564.03x = 168,160.39
  5. Step 5: Solve for x
    x = 168,160.39/564.03
  6. Step 6: Final answer
    x = 298.14

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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.