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Finding the Fourth Proportional to 209.08, 314.87 and 182.36

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Solution

The fourth proportional to 209.08, 314.87 and 182.36 is: 274.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.08 : 314.87 = 182.36 : x
  2. Step 2: Convert to fraction form
    209.08/314.87 = 182.36/x
  3. Step 3: Cross multiply
    209.08x = 314.87 × 182.36
  4. Step 4: Simplify right side
    209.08x = 57,419.69
  5. Step 5: Solve for x
    x = 57,419.69/209.08
  6. Step 6: Final answer
    x = 274.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.