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Finding the Fourth Proportional to 652.30, 978.60 and 219.44

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Solution

The fourth proportional to 652.30, 978.60 and 219.44 is: 329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.30 : 978.60 = 219.44 : x
  2. Step 2: Convert to fraction form
    652.30/978.60 = 219.44/x
  3. Step 3: Cross multiply
    652.30x = 978.60 × 219.44
  4. Step 4: Simplify right side
    652.30x = 214,743.98
  5. Step 5: Solve for x
    x = 214,743.98/652.30
  6. Step 6: Final answer
    x = 329.21

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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.