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Finding the Fourth Proportional to 1,200.30, 1,800.36 and 378.60

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Solution

The fourth proportional to 1,200.30, 1,800.36 and 378.60 is: 567.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.30 : 1,800.36 = 378.60 : x
  2. Step 2: Convert to fraction form
    1,200.30/1,800.36 = 378.60/x
  3. Step 3: Cross multiply
    1,200.30x = 1,800.36 × 378.60
  4. Step 4: Simplify right side
    1,200.30x = 681,616.30
  5. Step 5: Solve for x
    x = 681,616.30/1,200.30
  6. Step 6: Final answer
    x = 567.87

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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.