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Finding the Fourth Proportional to 209.79, 313.20 and 181.04

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Solution

The fourth proportional to 209.79, 313.20 and 181.04 is: 270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.79 : 313.20 = 181.04 : x
  2. Step 2: Convert to fraction form
    209.79/313.20 = 181.04/x
  3. Step 3: Cross multiply
    209.79x = 313.20 × 181.04
  4. Step 4: Simplify right side
    209.79x = 56,700.16
  5. Step 5: Solve for x
    x = 56,700.16/209.79
  6. Step 6: Final answer
    x = 270.27

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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.