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Finding the Fourth Proportional to 1,200.14, 1,800.20 and 334.38

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Solution

The fourth proportional to 1,200.14, 1,800.20 and 334.38 is: 501.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.14 : 1,800.20 = 334.38 : x
  2. Step 2: Convert to fraction form
    1,200.14/1,800.20 = 334.38/x
  3. Step 3: Cross multiply
    1,200.14x = 1,800.20 × 334.38
  4. Step 4: Simplify right side
    1,200.14x = 601,950.88
  5. Step 5: Solve for x
    x = 601,950.88/1,200.14
  6. Step 6: Final answer
    x = 501.57

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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.