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Finding the Fourth Proportional to 162.18, 223.78 and 92.22

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Solution

The fourth proportional to 162.18, 223.78 and 92.22 is: 127.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.18 : 223.78 = 92.22 : x
  2. Step 2: Convert to fraction form
    162.18/223.78 = 92.22/x
  3. Step 3: Cross multiply
    162.18x = 223.78 × 92.22
  4. Step 4: Simplify right side
    162.18x = 20,636.99
  5. Step 5: Solve for x
    x = 20,636.99/162.18
  6. Step 6: Final answer
    x = 127.25

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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.