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Finding the Fourth Proportional to 352.55, 528.98 and 198.75

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Solution

The fourth proportional to 352.55, 528.98 and 198.75 is: 298.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.55 : 528.98 = 198.75 : x
  2. Step 2: Convert to fraction form
    352.55/528.98 = 198.75/x
  3. Step 3: Cross multiply
    352.55x = 528.98 × 198.75
  4. Step 4: Simplify right side
    352.55x = 105,133.78
  5. Step 5: Solve for x
    x = 105,133.78/352.55
  6. Step 6: Final answer
    x = 298.21

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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.