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Finding the Fourth Proportional to 209.44, 312.85 and 155.44

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Solution

The fourth proportional to 209.44, 312.85 and 155.44 is: 232.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.44 : 312.85 = 155.44 : x
  2. Step 2: Convert to fraction form
    209.44/312.85 = 155.44/x
  3. Step 3: Cross multiply
    209.44x = 312.85 × 155.44
  4. Step 4: Simplify right side
    209.44x = 48,629.40
  5. Step 5: Solve for x
    x = 48,629.40/209.44
  6. Step 6: Final answer
    x = 232.19

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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.