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Finding the Fourth Proportional to 452.36, 678.22 and 246.52

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Solution

The fourth proportional to 452.36, 678.22 and 246.52 is: 369.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.36 : 678.22 = 246.52 : x
  2. Step 2: Convert to fraction form
    452.36/678.22 = 246.52/x
  3. Step 3: Cross multiply
    452.36x = 678.22 × 246.52
  4. Step 4: Simplify right side
    452.36x = 167,194.79
  5. Step 5: Solve for x
    x = 167,194.79/452.36
  6. Step 6: Final answer
    x = 369.61

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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.