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Finding the Fourth Proportional to 208.83, 314.84 and 206.09

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Solution

The fourth proportional to 208.83, 314.84 and 206.09 is: 310.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.83 : 314.84 = 206.09 : x
  2. Step 2: Convert to fraction form
    208.83/314.84 = 206.09/x
  3. Step 3: Cross multiply
    208.83x = 314.84 × 206.09
  4. Step 4: Simplify right side
    208.83x = 64,886.11
  5. Step 5: Solve for x
    x = 64,886.11/208.83
  6. Step 6: Final answer
    x = 310.72

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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.