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Finding the Fourth Proportional to 618.07, 927 and 185.14

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Solution

The fourth proportional to 618.07, 927 and 185.14 is: 277.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.07 : 927 = 185.14 : x
  2. Step 2: Convert to fraction form
    618.07/927 = 185.14/x
  3. Step 3: Cross multiply
    618.07x = 927 × 185.14
  4. Step 4: Simplify right side
    618.07x = 171,624.78
  5. Step 5: Solve for x
    x = 171,624.78/618.07
  6. Step 6: Final answer
    x = 277.68

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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.