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Finding the Fourth Proportional to 301.03, 451.89 and 281.21

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Solution

The fourth proportional to 301.03, 451.89 and 281.21 is: 422.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.03 : 451.89 = 281.21 : x
  2. Step 2: Convert to fraction form
    301.03/451.89 = 281.21/x
  3. Step 3: Cross multiply
    301.03x = 451.89 × 281.21
  4. Step 4: Simplify right side
    301.03x = 127,075.99
  5. Step 5: Solve for x
    x = 127,075.99/301.03
  6. Step 6: Final answer
    x = 422.14

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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.