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Finding the Fourth Proportional to 618.40, 927.01 and 228.31

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Solution

The fourth proportional to 618.40, 927.01 and 228.31 is: 342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.40 : 927.01 = 228.31 : x
  2. Step 2: Convert to fraction form
    618.40/927.01 = 228.31/x
  3. Step 3: Cross multiply
    618.40x = 927.01 × 228.31
  4. Step 4: Simplify right side
    618.40x = 211,645.65
  5. Step 5: Solve for x
    x = 211,645.65/618.40
  6. Step 6: Final answer
    x = 342.25

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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.