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Finding the Fourth Proportional to 1,200.19, 1,800.16 and 378.02

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Solution

The fourth proportional to 1,200.19, 1,800.16 and 378.02 is: 566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.19 : 1,800.16 = 378.02 : x
  2. Step 2: Convert to fraction form
    1,200.19/1,800.16 = 378.02/x
  3. Step 3: Cross multiply
    1,200.19x = 1,800.16 × 378.02
  4. Step 4: Simplify right side
    1,200.19x = 680,489.91
  5. Step 5: Solve for x
    x = 680,489.91/1,200.19
  6. Step 6: Final answer
    x = 566.98

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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.