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Finding the Fourth Proportional to 162.42, 222.67 and 154.60

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Solution

The fourth proportional to 162.42, 222.67 and 154.60 is: 211.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.42 : 222.67 = 154.60 : x
  2. Step 2: Convert to fraction form
    162.42/222.67 = 154.60/x
  3. Step 3: Cross multiply
    162.42x = 222.67 × 154.60
  4. Step 4: Simplify right side
    162.42x = 34,424.78
  5. Step 5: Solve for x
    x = 34,424.78/162.42
  6. Step 6: Final answer
    x = 211.95

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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.