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Finding the Fourth Proportional to 564.87, 847.71 and 240.42

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Solution

The fourth proportional to 564.87, 847.71 and 240.42 is: 360.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.87 : 847.71 = 240.42 : x
  2. Step 2: Convert to fraction form
    564.87/847.71 = 240.42/x
  3. Step 3: Cross multiply
    564.87x = 847.71 × 240.42
  4. Step 4: Simplify right side
    564.87x = 203,806.44
  5. Step 5: Solve for x
    x = 203,806.44/564.87
  6. Step 6: Final answer
    x = 360.80

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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.