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Finding the Fourth Proportional to 162.49, 222.78 and 159.58

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Solution

The fourth proportional to 162.49, 222.78 and 159.58 is: 218.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.49 : 222.78 = 159.58 : x
  2. Step 2: Convert to fraction form
    162.49/222.78 = 159.58/x
  3. Step 3: Cross multiply
    162.49x = 222.78 × 159.58
  4. Step 4: Simplify right side
    162.49x = 35,550.12
  5. Step 5: Solve for x
    x = 35,550.12/162.49
  6. Step 6: Final answer
    x = 218.78

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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.