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Finding the Fourth Proportional to 613.82, 920.73 and 180.98

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Solution

The fourth proportional to 613.82, 920.73 and 180.98 is: 271.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.82 : 920.73 = 180.98 : x
  2. Step 2: Convert to fraction form
    613.82/920.73 = 180.98/x
  3. Step 3: Cross multiply
    613.82x = 920.73 × 180.98
  4. Step 4: Simplify right side
    613.82x = 166,633.72
  5. Step 5: Solve for x
    x = 166,633.72/613.82
  6. Step 6: Final answer
    x = 271.47

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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.