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Finding the Fourth Proportional to 209.63, 313.07 and 180.80

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Solution

The fourth proportional to 209.63, 313.07 and 180.80 is: 270.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.63 : 313.07 = 180.80 : x
  2. Step 2: Convert to fraction form
    209.63/313.07 = 180.80/x
  3. Step 3: Cross multiply
    209.63x = 313.07 × 180.80
  4. Step 4: Simplify right side
    209.63x = 56,600.59
  5. Step 5: Solve for x
    x = 56,600.59/209.63
  6. Step 6: Final answer
    x = 270.01

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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.