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Finding the Fourth Proportional to 250.00, 344.93 and 161.49

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Solution

The fourth proportional to 250.00, 344.93 and 161.49 is: 222.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.00 : 344.93 = 161.49 : x
  2. Step 2: Convert to fraction form
    250.00/344.93 = 161.49/x
  3. Step 3: Cross multiply
    250.00x = 344.93 × 161.49
  4. Step 4: Simplify right side
    250.00x = 55,701.64
  5. Step 5: Solve for x
    x = 55,701.64/250.00
  6. Step 6: Final answer
    x = 222.81

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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.