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Finding the Fourth Proportional to 618.04, 926.50 and 227.98

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Solution

The fourth proportional to 618.04, 926.50 and 227.98 is: 341.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.04 : 926.50 = 227.98 : x
  2. Step 2: Convert to fraction form
    618.04/926.50 = 227.98/x
  3. Step 3: Cross multiply
    618.04x = 926.50 × 227.98
  4. Step 4: Simplify right side
    618.04x = 211,223.47
  5. Step 5: Solve for x
    x = 211,223.47/618.04
  6. Step 6: Final answer
    x = 341.76

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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.