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Finding the Fourth Proportional to 301.62, 452.28 and 180.12

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Solution

The fourth proportional to 301.62, 452.28 and 180.12 is: 270.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.62 : 452.28 = 180.12 : x
  2. Step 2: Convert to fraction form
    301.62/452.28 = 180.12/x
  3. Step 3: Cross multiply
    301.62x = 452.28 × 180.12
  4. Step 4: Simplify right side
    301.62x = 81,467.05
  5. Step 5: Solve for x
    x = 81,467.05/301.62
  6. Step 6: Final answer
    x = 270.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.