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Finding the Fourth Proportional to 452.03, 678 and 191.91

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Solution

The fourth proportional to 452.03, 678 and 191.91 is: 287.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.03 : 678 = 191.91 : x
  2. Step 2: Convert to fraction form
    452.03/678 = 191.91/x
  3. Step 3: Cross multiply
    452.03x = 678 × 191.91
  4. Step 4: Simplify right side
    452.03x = 130,114.98
  5. Step 5: Solve for x
    x = 130,114.98/452.03
  6. Step 6: Final answer
    x = 287.85

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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.