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Finding the Fourth Proportional to 618.37, 927.30 and 228.28

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Solution

The fourth proportional to 618.37, 927.30 and 228.28 is: 342.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.37 : 927.30 = 228.28 : x
  2. Step 2: Convert to fraction form
    618.37/927.30 = 228.28/x
  3. Step 3: Cross multiply
    618.37x = 927.30 × 228.28
  4. Step 4: Simplify right side
    618.37x = 211,684.04
  5. Step 5: Solve for x
    x = 211,684.04/618.37
  6. Step 6: Final answer
    x = 342.33

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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.