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Finding the Fourth Proportional to 176.81, 244.22 and 161.28

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Solution

The fourth proportional to 176.81, 244.22 and 161.28 is: 222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.81 : 244.22 = 161.28 : x
  2. Step 2: Convert to fraction form
    176.81/244.22 = 161.28/x
  3. Step 3: Cross multiply
    176.81x = 244.22 × 161.28
  4. Step 4: Simplify right side
    176.81x = 39,387.00
  5. Step 5: Solve for x
    x = 39,387.00/176.81
  6. Step 6: Final answer
    x = 222.77

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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.