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Finding the Fourth Proportional to 292.73, 403.94 and 161.73

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Solution

The fourth proportional to 292.73, 403.94 and 161.73 is: 223.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.73 : 403.94 = 161.73 : x
  2. Step 2: Convert to fraction form
    292.73/403.94 = 161.73/x
  3. Step 3: Cross multiply
    292.73x = 403.94 × 161.73
  4. Step 4: Simplify right side
    292.73x = 65,328.41
  5. Step 5: Solve for x
    x = 65,328.41/292.73
  6. Step 6: Final answer
    x = 223.17

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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.