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Finding the Fourth Proportional to 578.28, 867.50 and 193.64

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Solution

The fourth proportional to 578.28, 867.50 and 193.64 is: 290.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.28 : 867.50 = 193.64 : x
  2. Step 2: Convert to fraction form
    578.28/867.50 = 193.64/x
  3. Step 3: Cross multiply
    578.28x = 867.50 × 193.64
  4. Step 4: Simplify right side
    578.28x = 167,982.70
  5. Step 5: Solve for x
    x = 167,982.70/578.28
  6. Step 6: Final answer
    x = 290.49

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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.