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Finding the Fourth Proportional to 1,338.15, 2,006.91 and 364.02

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Solution

The fourth proportional to 1,338.15, 2,006.91 and 364.02 is: 545.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.15 : 2,006.91 = 364.02 : x
  2. Step 2: Convert to fraction form
    1,338.15/2,006.91 = 364.02/x
  3. Step 3: Cross multiply
    1,338.15x = 2,006.91 × 364.02
  4. Step 4: Simplify right side
    1,338.15x = 730,555.38
  5. Step 5: Solve for x
    x = 730,555.38/1,338.15
  6. Step 6: Final answer
    x = 545.94

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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.