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Finding the Fourth Proportional to 162.68, 222.55 and 162.22

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Solution

The fourth proportional to 162.68, 222.55 and 162.22 is: 221.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.68 : 222.55 = 162.22 : x
  2. Step 2: Convert to fraction form
    162.68/222.55 = 162.22/x
  3. Step 3: Cross multiply
    162.68x = 222.55 × 162.22
  4. Step 4: Simplify right side
    162.68x = 36,102.06
  5. Step 5: Solve for x
    x = 36,102.06/162.68
  6. Step 6: Final answer
    x = 221.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.