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Finding the Fourth Proportional to 305.21, 455.78 and 301.96

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Solution

The fourth proportional to 305.21, 455.78 and 301.96 is: 450.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.21 : 455.78 = 301.96 : x
  2. Step 2: Convert to fraction form
    305.21/455.78 = 301.96/x
  3. Step 3: Cross multiply
    305.21x = 455.78 × 301.96
  4. Step 4: Simplify right side
    305.21x = 137,625.05
  5. Step 5: Solve for x
    x = 137,625.05/305.21
  6. Step 6: Final answer
    x = 450.92

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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.