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Finding the Fourth Proportional to 350.78, 525.99 and 134.30

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Solution

The fourth proportional to 350.78, 525.99 and 134.30 is: 201.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.78 : 525.99 = 134.30 : x
  2. Step 2: Convert to fraction form
    350.78/525.99 = 134.30/x
  3. Step 3: Cross multiply
    350.78x = 525.99 × 134.30
  4. Step 4: Simplify right side
    350.78x = 70,640.46
  5. Step 5: Solve for x
    x = 70,640.46/350.78
  6. Step 6: Final answer
    x = 201.38

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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.