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Finding the Fourth Proportional to 564.73, 846.81 and 199.47

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Solution

The fourth proportional to 564.73, 846.81 and 199.47 is: 299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.73 : 846.81 = 199.47 : x
  2. Step 2: Convert to fraction form
    564.73/846.81 = 199.47/x
  3. Step 3: Cross multiply
    564.73x = 846.81 × 199.47
  4. Step 4: Simplify right side
    564.73x = 168,908.96
  5. Step 5: Solve for x
    x = 168,908.96/564.73
  6. Step 6: Final answer
    x = 299.10

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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.