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Finding the Fourth Proportional to 350.16, 525.12 and 133.68

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Solution

The fourth proportional to 350.16, 525.12 and 133.68 is: 200.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.16 : 525.12 = 133.68 : x
  2. Step 2: Convert to fraction form
    350.16/525.12 = 133.68/x
  3. Step 3: Cross multiply
    350.16x = 525.12 × 133.68
  4. Step 4: Simplify right side
    350.16x = 70,198.04
  5. Step 5: Solve for x
    x = 70,198.04/350.16
  6. Step 6: Final answer
    x = 200.47

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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.