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Finding the Fourth Proportional to 209.07, 313.70 and 181.68

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Solution

The fourth proportional to 209.07, 313.70 and 181.68 is: 272.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.07 : 313.70 = 181.68 : x
  2. Step 2: Convert to fraction form
    209.07/313.70 = 181.68/x
  3. Step 3: Cross multiply
    209.07x = 313.70 × 181.68
  4. Step 4: Simplify right side
    209.07x = 56,992.11
  5. Step 5: Solve for x
    x = 56,992.11/209.07
  6. Step 6: Final answer
    x = 272.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.