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Finding the Fourth Proportional to 352.34, 529.48 and 198.50

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Solution

The fourth proportional to 352.34, 529.48 and 198.50 is: 298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.34 : 529.48 = 198.50 : x
  2. Step 2: Convert to fraction form
    352.34/529.48 = 198.50/x
  3. Step 3: Cross multiply
    352.34x = 529.48 × 198.50
  4. Step 4: Simplify right side
    352.34x = 105,101.78
  5. Step 5: Solve for x
    x = 105,101.78/352.34
  6. Step 6: Final answer
    x = 298.30

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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.