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Finding the Fourth Proportional to 209.70, 315.69 and 155.94

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Solution

The fourth proportional to 209.70, 315.69 and 155.94 is: 234.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.70 : 315.69 = 155.94 : x
  2. Step 2: Convert to fraction form
    209.70/315.69 = 155.94/x
  3. Step 3: Cross multiply
    209.70x = 315.69 × 155.94
  4. Step 4: Simplify right side
    209.70x = 49,228.70
  5. Step 5: Solve for x
    x = 49,228.70/209.70
  6. Step 6: Final answer
    x = 234.76

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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.