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Finding the Fourth Proportional to 162.56, 222.86 and 159.64

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Solution

The fourth proportional to 162.56, 222.86 and 159.64 is: 218.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.56 : 222.86 = 159.64 : x
  2. Step 2: Convert to fraction form
    162.56/222.86 = 159.64/x
  3. Step 3: Cross multiply
    162.56x = 222.86 × 159.64
  4. Step 4: Simplify right side
    162.56x = 35,577.21
  5. Step 5: Solve for x
    x = 35,577.21/162.56
  6. Step 6: Final answer
    x = 218.85

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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.