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Finding the Fourth Proportional to 162.54, 222.43 and 159.18

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Solution

The fourth proportional to 162.54, 222.43 and 159.18 is: 217.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.54 : 222.43 = 159.18 : x
  2. Step 2: Convert to fraction form
    162.54/222.43 = 159.18/x
  3. Step 3: Cross multiply
    162.54x = 222.43 × 159.18
  4. Step 4: Simplify right side
    162.54x = 35,405.61
  5. Step 5: Solve for x
    x = 35,405.61/162.54
  6. Step 6: Final answer
    x = 217.83

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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.