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Finding the Fourth Proportional to 301.62, 450.16 and 272.46

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Solution

The fourth proportional to 301.62, 450.16 and 272.46 is: 406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.62 : 450.16 = 272.46 : x
  2. Step 2: Convert to fraction form
    301.62/450.16 = 272.46/x
  3. Step 3: Cross multiply
    301.62x = 450.16 × 272.46
  4. Step 4: Simplify right side
    301.62x = 122,651.60
  5. Step 5: Solve for x
    x = 122,651.60/301.62
  6. Step 6: Final answer
    x = 406.64

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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.