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Finding the Fourth Proportional to 209.71, 313.03 and 186.83

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Solution

The fourth proportional to 209.71, 313.03 and 186.83 is: 278.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.71 : 313.03 = 186.83 : x
  2. Step 2: Convert to fraction form
    209.71/313.03 = 186.83/x
  3. Step 3: Cross multiply
    209.71x = 313.03 × 186.83
  4. Step 4: Simplify right side
    209.71x = 58,483.39
  5. Step 5: Solve for x
    x = 58,483.39/209.71
  6. Step 6: Final answer
    x = 278.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.