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Finding the Fourth Proportional to 578.49, 867.39 and 231.98

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Solution

The fourth proportional to 578.49, 867.39 and 231.98 is: 347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.49 : 867.39 = 231.98 : x
  2. Step 2: Convert to fraction form
    578.49/867.39 = 231.98/x
  3. Step 3: Cross multiply
    578.49x = 867.39 × 231.98
  4. Step 4: Simplify right side
    578.49x = 201,219.30
  5. Step 5: Solve for x
    x = 201,219.30/578.49
  6. Step 6: Final answer
    x = 347.84

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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.