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Finding the Fourth Proportional to 618.30, 927.81 and 228.57

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Solution

The fourth proportional to 618.30, 927.81 and 228.57 is: 342.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.30 : 927.81 = 228.57 : x
  2. Step 2: Convert to fraction form
    618.30/927.81 = 228.57/x
  3. Step 3: Cross multiply
    618.30x = 927.81 × 228.57
  4. Step 4: Simplify right side
    618.30x = 212,069.53
  5. Step 5: Solve for x
    x = 212,069.53/618.30
  6. Step 6: Final answer
    x = 342.99

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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.