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Finding the Fourth Proportional to 162.16, 222.65 and 157.93

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Solution

The fourth proportional to 162.16, 222.65 and 157.93 is: 216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.16 : 222.65 = 157.93 : x
  2. Step 2: Convert to fraction form
    162.16/222.65 = 157.93/x
  3. Step 3: Cross multiply
    162.16x = 222.65 × 157.93
  4. Step 4: Simplify right side
    162.16x = 35,163.73
  5. Step 5: Solve for x
    x = 35,163.73/162.16
  6. Step 6: Final answer
    x = 216.85

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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.