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Finding the Fourth Proportional to 618.03, 926.78 and 201.44

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Solution

The fourth proportional to 618.03, 926.78 and 201.44 is: 302.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.03 : 926.78 = 201.44 : x
  2. Step 2: Convert to fraction form
    618.03/926.78 = 201.44/x
  3. Step 3: Cross multiply
    618.03x = 926.78 × 201.44
  4. Step 4: Simplify right side
    618.03x = 186,691.87
  5. Step 5: Solve for x
    x = 186,691.87/618.03
  6. Step 6: Final answer
    x = 302.08

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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.