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Finding the Fourth Proportional to 564.50, 846.92 and 239.90

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Solution

The fourth proportional to 564.50, 846.92 and 239.90 is: 359.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.50 : 846.92 = 239.90 : x
  2. Step 2: Convert to fraction form
    564.50/846.92 = 239.90/x
  3. Step 3: Cross multiply
    564.50x = 846.92 × 239.90
  4. Step 4: Simplify right side
    564.50x = 203,171.87
  5. Step 5: Solve for x
    x = 203,171.87/564.50
  6. Step 6: Final answer
    x = 359.91

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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.