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Finding the Fourth Proportional to 452, 678.01 and 191.97

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Solution

The fourth proportional to 452, 678.01 and 191.97 is: 287.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    452 : 678.01 = 191.97 : x
  2. Step 2: Convert to fraction form
    452/678.01 = 191.97/x
  3. Step 3: Cross multiply
    452x = 678.01 × 191.97
  4. Step 4: Simplify right side
    452x = 130,157.58
  5. Step 5: Solve for x
    x = 130,157.58/452
  6. Step 6: Final answer
    x = 287.96

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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.