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Finding the Fourth Proportional to 162.16, 223.74 and 92.23

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Solution

The fourth proportional to 162.16, 223.74 and 92.23 is: 127.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.16 : 223.74 = 92.23 : x
  2. Step 2: Convert to fraction form
    162.16/223.74 = 92.23/x
  3. Step 3: Cross multiply
    162.16x = 223.74 × 92.23
  4. Step 4: Simplify right side
    162.16x = 20,634.98
  5. Step 5: Solve for x
    x = 20,634.98/162.16
  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.