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Finding the Fourth Proportional to 564.09, 846.01 and 193.85

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Solution

The fourth proportional to 564.09, 846.01 and 193.85 is: 290.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.09 : 846.01 = 193.85 : x
  2. Step 2: Convert to fraction form
    564.09/846.01 = 193.85/x
  3. Step 3: Cross multiply
    564.09x = 846.01 × 193.85
  4. Step 4: Simplify right side
    564.09x = 164,002.98
  5. Step 5: Solve for x
    x = 164,002.98/564.09
  6. Step 6: Final answer
    x = 290.74

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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.