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Finding the Fourth Proportional to 209.56, 288.88 and 162.36

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Solution

The fourth proportional to 209.56, 288.88 and 162.36 is: 223.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.56 : 288.88 = 162.36 : x
  2. Step 2: Convert to fraction form
    209.56/288.88 = 162.36/x
  3. Step 3: Cross multiply
    209.56x = 288.88 × 162.36
  4. Step 4: Simplify right side
    209.56x = 46,902.56
  5. Step 5: Solve for x
    x = 46,902.56/209.56
  6. Step 6: Final answer
    x = 223.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.