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Finding the Fourth Proportional to 1,107.68, 1,661.49 and 338.18

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Solution

The fourth proportional to 1,107.68, 1,661.49 and 338.18 is: 507.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.68 : 1,661.49 = 338.18 : x
  2. Step 2: Convert to fraction form
    1,107.68/1,661.49 = 338.18/x
  3. Step 3: Cross multiply
    1,107.68x = 1,661.49 × 338.18
  4. Step 4: Simplify right side
    1,107.68x = 561,874.38
  5. Step 5: Solve for x
    x = 561,874.38/1,107.68
  6. Step 6: Final answer
    x = 507.26

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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.