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Finding the Fourth Proportional to 353.36, 525.41 and 338.78

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Solution

The fourth proportional to 353.36, 525.41 and 338.78 is: 503.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.36 : 525.41 = 338.78 : x
  2. Step 2: Convert to fraction form
    353.36/525.41 = 338.78/x
  3. Step 3: Cross multiply
    353.36x = 525.41 × 338.78
  4. Step 4: Simplify right side
    353.36x = 177,994.08
  5. Step 5: Solve for x
    x = 177,994.08/353.36
  6. Step 6: Final answer
    x = 503.73

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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.