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Finding the Fourth Proportional to 452.23, 678.61 and 192.21

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Solution

The fourth proportional to 452.23, 678.61 and 192.21 is: 288.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.23 : 678.61 = 192.21 : x
  2. Step 2: Convert to fraction form
    452.23/678.61 = 192.21/x
  3. Step 3: Cross multiply
    452.23x = 678.61 × 192.21
  4. Step 4: Simplify right side
    452.23x = 130,435.63
  5. Step 5: Solve for x
    x = 130,435.63/452.23
  6. Step 6: Final answer
    x = 288.43

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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.