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Finding the Fourth Proportional to 378.94, 522.60 and 246.03

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Solution

The fourth proportional to 378.94, 522.60 and 246.03 is: 339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.94 : 522.60 = 246.03 : x
  2. Step 2: Convert to fraction form
    378.94/522.60 = 246.03/x
  3. Step 3: Cross multiply
    378.94x = 522.60 × 246.03
  4. Step 4: Simplify right side
    378.94x = 128,574.05
  5. Step 5: Solve for x
    x = 128,574.05/378.94
  6. Step 6: Final answer
    x = 339.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.