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Finding the Fourth Proportional to 378.09, 563.33 and 353.25

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Solution

The fourth proportional to 378.09, 563.33 and 353.25 is: 526.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.09 : 563.33 = 353.25 : x
  2. Step 2: Convert to fraction form
    378.09/563.33 = 353.25/x
  3. Step 3: Cross multiply
    378.09x = 563.33 × 353.25
  4. Step 4: Simplify right side
    378.09x = 198,997.21
  5. Step 5: Solve for x
    x = 198,997.21/378.09
  6. Step 6: Final answer
    x = 526.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.