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Finding the Fourth Proportional to 162.33, 223.93 and 120.75

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Solution

The fourth proportional to 162.33, 223.93 and 120.75 is: 166.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.33 : 223.93 = 120.75 : x
  2. Step 2: Convert to fraction form
    162.33/223.93 = 120.75/x
  3. Step 3: Cross multiply
    162.33x = 223.93 × 120.75
  4. Step 4: Simplify right side
    162.33x = 27,039.55
  5. Step 5: Solve for x
    x = 27,039.55/162.33
  6. Step 6: Final answer
    x = 166.57

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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.