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Finding the Fourth Proportional to 209.66, 313.04 and 180.74

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Solution

The fourth proportional to 209.66, 313.04 and 180.74 is: 269.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.66 : 313.04 = 180.74 : x
  2. Step 2: Convert to fraction form
    209.66/313.04 = 180.74/x
  3. Step 3: Cross multiply
    209.66x = 313.04 × 180.74
  4. Step 4: Simplify right side
    209.66x = 56,578.85
  5. Step 5: Solve for x
    x = 56,578.85/209.66
  6. Step 6: Final answer
    x = 269.86

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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.