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Finding the Fourth Proportional to 209.53, 289.09 and 130.80

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Solution

The fourth proportional to 209.53, 289.09 and 130.80 is: 180.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.53 : 289.09 = 130.80 : x
  2. Step 2: Convert to fraction form
    209.53/289.09 = 130.80/x
  3. Step 3: Cross multiply
    209.53x = 289.09 × 130.80
  4. Step 4: Simplify right side
    209.53x = 37,813.48
  5. Step 5: Solve for x
    x = 37,813.48/209.53
  6. Step 6: Final answer
    x = 180.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.