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Finding the Fourth Proportional to 613.27, 920.08 and 180.42

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Solution

The fourth proportional to 613.27, 920.08 and 180.42 is: 270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.27 : 920.08 = 180.42 : x
  2. Step 2: Convert to fraction form
    613.27/920.08 = 180.42/x
  3. Step 3: Cross multiply
    613.27x = 920.08 × 180.42
  4. Step 4: Simplify right side
    613.27x = 166,001.77
  5. Step 5: Solve for x
    x = 166,001.77/613.27
  6. Step 6: Final answer
    x = 270.68

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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.