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Finding the Fourth Proportional to 178.47, 244.93 and 162

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Solution

The fourth proportional to 178.47, 244.93 and 162 is: 222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.47 : 244.93 = 162 : x
  2. Step 2: Convert to fraction form
    178.47/244.93 = 162/x
  3. Step 3: Cross multiply
    178.47x = 244.93 × 162
  4. Step 4: Simplify right side
    178.47x = 39,678.66
  5. Step 5: Solve for x
    x = 39,678.66/178.47
  6. Step 6: Final answer
    x = 222.33

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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.