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Finding the Fourth Proportional to 350.93, 525.59 and 338.78

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Solution

The fourth proportional to 350.93, 525.59 and 338.78 is: 507.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.93 : 525.59 = 338.78 : x
  2. Step 2: Convert to fraction form
    350.93/525.59 = 338.78/x
  3. Step 3: Cross multiply
    350.93x = 525.59 × 338.78
  4. Step 4: Simplify right side
    350.93x = 178,057.69
  5. Step 5: Solve for x
    x = 178,057.69/350.93
  6. Step 6: Final answer
    x = 507.39

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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.