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Finding the Fourth Proportional to 209.15, 288.64 and 143.67

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Solution

The fourth proportional to 209.15, 288.64 and 143.67 is: 198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.15 : 288.64 = 143.67 : x
  2. Step 2: Convert to fraction form
    209.15/288.64 = 143.67/x
  3. Step 3: Cross multiply
    209.15x = 288.64 × 143.67
  4. Step 4: Simplify right side
    209.15x = 41,468.91
  5. Step 5: Solve for x
    x = 41,468.91/209.15
  6. Step 6: Final answer
    x = 198.27

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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.