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Finding the Fourth Proportional to 292.73, 403.98 and 194.42

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Solution

The fourth proportional to 292.73, 403.98 and 194.42 is: 268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.73 : 403.98 = 194.42 : x
  2. Step 2: Convert to fraction form
    292.73/403.98 = 194.42/x
  3. Step 3: Cross multiply
    292.73x = 403.98 × 194.42
  4. Step 4: Simplify right side
    292.73x = 78,539.77
  5. Step 5: Solve for x
    x = 78,539.77/292.73
  6. Step 6: Final answer
    x = 268.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.