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Finding the Fourth Proportional to 564.42, 846.75 and 199.21

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Solution

The fourth proportional to 564.42, 846.75 and 199.21 is: 298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.42 : 846.75 = 199.21 : x
  2. Step 2: Convert to fraction form
    564.42/846.75 = 199.21/x
  3. Step 3: Cross multiply
    564.42x = 846.75 × 199.21
  4. Step 4: Simplify right side
    564.42x = 168,679.70
  5. Step 5: Solve for x
    x = 168,679.70/564.42
  6. Step 6: Final answer
    x = 298.86

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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.