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Finding the Fourth Proportional to 209.76, 288.90 and 183.48

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Solution

The fourth proportional to 209.76, 288.90 and 183.48 is: 252.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.76 : 288.90 = 183.48 : x
  2. Step 2: Convert to fraction form
    209.76/288.90 = 183.48/x
  3. Step 3: Cross multiply
    209.76x = 288.90 × 183.48
  4. Step 4: Simplify right side
    209.76x = 53,007.37
  5. Step 5: Solve for x
    x = 53,007.37/209.76
  6. Step 6: Final answer
    x = 252.70

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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.