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Finding the Fourth Proportional to 1,200.16, 1,800.20 and 378.32

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Solution

The fourth proportional to 1,200.16, 1,800.20 and 378.32 is: 567.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.16 : 1,800.20 = 378.32 : x
  2. Step 2: Convert to fraction form
    1,200.16/1,800.20 = 378.32/x
  3. Step 3: Cross multiply
    1,200.16x = 1,800.20 × 378.32
  4. Step 4: Simplify right side
    1,200.16x = 681,051.66
  5. Step 5: Solve for x
    x = 681,051.66/1,200.16
  6. Step 6: Final answer
    x = 567.47

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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.