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Finding the Fourth Proportional to 293.78, 405.42 and 161.00

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Solution

The fourth proportional to 293.78, 405.42 and 161.00 is: 222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.78 : 405.42 = 161.00 : x
  2. Step 2: Convert to fraction form
    293.78/405.42 = 161.00/x
  3. Step 3: Cross multiply
    293.78x = 405.42 × 161.00
  4. Step 4: Simplify right side
    293.78x = 65,269.79
  5. Step 5: Solve for x
    x = 65,269.79/293.78
  6. Step 6: Final answer
    x = 222.17

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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.