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Finding the Fourth Proportional to 262.26, 391.89 and 180.45

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Solution

The fourth proportional to 262.26, 391.89 and 180.45 is: 269.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.26 : 391.89 = 180.45 : x
  2. Step 2: Convert to fraction form
    262.26/391.89 = 180.45/x
  3. Step 3: Cross multiply
    262.26x = 391.89 × 180.45
  4. Step 4: Simplify right side
    262.26x = 70,716.55
  5. Step 5: Solve for x
    x = 70,716.55/262.26
  6. Step 6: Final answer
    x = 269.64

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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.