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Finding the Fourth Proportional to 209.58, 312.86 and 195

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Solution

The fourth proportional to 209.58, 312.86 and 195 is: 291.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.58 : 312.86 = 195 : x
  2. Step 2: Convert to fraction form
    209.58/312.86 = 195/x
  3. Step 3: Cross multiply
    209.58x = 312.86 × 195
  4. Step 4: Simplify right side
    209.58x = 61,006.73
  5. Step 5: Solve for x
    x = 61,006.73/209.58
  6. Step 6: Final answer
    x = 291.09

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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.