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Finding the Fourth Proportional to 232.41, 320.17 and 162.34

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Solution

The fourth proportional to 232.41, 320.17 and 162.34 is: 223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.41 : 320.17 = 162.34 : x
  2. Step 2: Convert to fraction form
    232.41/320.17 = 162.34/x
  3. Step 3: Cross multiply
    232.41x = 320.17 × 162.34
  4. Step 4: Simplify right side
    232.41x = 51,975.59
  5. Step 5: Solve for x
    x = 51,975.59/232.41
  6. Step 6: Final answer
    x = 223.64

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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.