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Finding the Fourth Proportional to 564.20, 846.16 and 193.96

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Solution

The fourth proportional to 564.20, 846.16 and 193.96 is: 290.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.20 : 846.16 = 193.96 : x
  2. Step 2: Convert to fraction form
    564.20/846.16 = 193.96/x
  3. Step 3: Cross multiply
    564.20x = 846.16 × 193.96
  4. Step 4: Simplify right side
    564.20x = 164,121.19
  5. Step 5: Solve for x
    x = 164,121.19/564.20
  6. Step 6: Final answer
    x = 290.89

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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.