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Finding the Fourth Proportional to 378.33, 570.32 and 353.25

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Solution

The fourth proportional to 378.33, 570.32 and 353.25 is: 532.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.33 : 570.32 = 353.25 : x
  2. Step 2: Convert to fraction form
    378.33/570.32 = 353.25/x
  3. Step 3: Cross multiply
    378.33x = 570.32 × 353.25
  4. Step 4: Simplify right side
    378.33x = 201,465.54
  5. Step 5: Solve for x
    x = 201,465.54/378.33
  6. Step 6: Final answer
    x = 532.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.