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Finding the Fourth Proportional to 613.81, 920.30 and 262.22

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Solution

The fourth proportional to 613.81, 920.30 and 262.22 is: 393.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.81 : 920.30 = 262.22 : x
  2. Step 2: Convert to fraction form
    613.81/920.30 = 262.22/x
  3. Step 3: Cross multiply
    613.81x = 920.30 × 262.22
  4. Step 4: Simplify right side
    613.81x = 241,324.02
  5. Step 5: Solve for x
    x = 241,324.02/613.81
  6. Step 6: Final answer
    x = 393.16

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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.