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Finding the Fourth Proportional to 162.46, 222.58 and 160.44

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Solution

The fourth proportional to 162.46, 222.58 and 160.44 is: 219.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.46 : 222.58 = 160.44 : x
  2. Step 2: Convert to fraction form
    162.46/222.58 = 160.44/x
  3. Step 3: Cross multiply
    162.46x = 222.58 × 160.44
  4. Step 4: Simplify right side
    162.46x = 35,710.74
  5. Step 5: Solve for x
    x = 35,710.74/162.46
  6. Step 6: Final answer
    x = 219.81

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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.