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Finding the Fourth Proportional to 382.95, 573.20 and 301.95

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Solution

The fourth proportional to 382.95, 573.20 and 301.95 is: 451.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.95 : 573.20 = 301.95 : x
  2. Step 2: Convert to fraction form
    382.95/573.20 = 301.95/x
  3. Step 3: Cross multiply
    382.95x = 573.20 × 301.95
  4. Step 4: Simplify right side
    382.95x = 173,077.74
  5. Step 5: Solve for x
    x = 173,077.74/382.95
  6. Step 6: Final answer
    x = 451.96

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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.