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Finding the Fourth Proportional to 209.03, 288.68 and 186.12

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Solution

The fourth proportional to 209.03, 288.68 and 186.12 is: 257.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.03 : 288.68 = 186.12 : x
  2. Step 2: Convert to fraction form
    209.03/288.68 = 186.12/x
  3. Step 3: Cross multiply
    209.03x = 288.68 × 186.12
  4. Step 4: Simplify right side
    209.03x = 53,730.67
  5. Step 5: Solve for x
    x = 53,730.67/209.03
  6. Step 6: Final answer
    x = 257.05

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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.