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Finding the Fourth Proportional to 209.05, 313.59 and 87.19

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Solution

The fourth proportional to 209.05, 313.59 and 87.19 is: 130.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.05 : 313.59 = 87.19 : x
  2. Step 2: Convert to fraction form
    209.05/313.59 = 87.19/x
  3. Step 3: Cross multiply
    209.05x = 313.59 × 87.19
  4. Step 4: Simplify right side
    209.05x = 27,342.14
  5. Step 5: Solve for x
    x = 27,342.14/209.05
  6. Step 6: Final answer
    x = 130.79

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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.