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Finding the Fourth Proportional to 452, 677.82 and 220.70

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Solution

The fourth proportional to 452, 677.82 and 220.70 is: 330.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    452 : 677.82 = 220.70 : x
  2. Step 2: Convert to fraction form
    452/677.82 = 220.70/x
  3. Step 3: Cross multiply
    452x = 677.82 × 220.70
  4. Step 4: Simplify right side
    452x = 149,594.87
  5. Step 5: Solve for x
    x = 149,594.87/452
  6. Step 6: Final answer
    x = 330.96

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