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Finding the Fourth Proportional to 618.10, 927.14 and 185.26

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Solution

The fourth proportional to 618.10, 927.14 and 185.26 is: 277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.10 : 927.14 = 185.26 : x
  2. Step 2: Convert to fraction form
    618.10/927.14 = 185.26/x
  3. Step 3: Cross multiply
    618.10x = 927.14 × 185.26
  4. Step 4: Simplify right side
    618.10x = 171,761.96
  5. Step 5: Solve for x
    x = 171,761.96/618.10
  6. Step 6: Final answer
    x = 277.89

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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.