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Finding the Fourth Proportional to 209.58, 314.39 and 208.84

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Solution

The fourth proportional to 209.58, 314.39 and 208.84 is: 313.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.58 : 314.39 = 208.84 : x
  2. Step 2: Convert to fraction form
    209.58/314.39 = 208.84/x
  3. Step 3: Cross multiply
    209.58x = 314.39 × 208.84
  4. Step 4: Simplify right side
    209.58x = 65,657.21
  5. Step 5: Solve for x
    x = 65,657.21/209.58
  6. Step 6: Final answer
    x = 313.28

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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.