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Finding the Fourth Proportional to 209.03, 312.01 and 195.35

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Solution

The fourth proportional to 209.03, 312.01 and 195.35 is: 291.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.03 : 312.01 = 195.35 : x
  2. Step 2: Convert to fraction form
    209.03/312.01 = 195.35/x
  3. Step 3: Cross multiply
    209.03x = 312.01 × 195.35
  4. Step 4: Simplify right side
    209.03x = 60,949.11
  5. Step 5: Solve for x
    x = 60,949.11/209.03
  6. Step 6: Final answer
    x = 291.59

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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.