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Finding the Fourth Proportional to 618.22, 926.90 and 207.30

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Solution

The fourth proportional to 618.22, 926.90 and 207.30 is: 310.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.22 : 926.90 = 207.30 : x
  2. Step 2: Convert to fraction form
    618.22/926.90 = 207.30/x
  3. Step 3: Cross multiply
    618.22x = 926.90 × 207.30
  4. Step 4: Simplify right side
    618.22x = 192,146.37
  5. Step 5: Solve for x
    x = 192,146.37/618.22
  6. Step 6: Final answer
    x = 310.81

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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.