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Finding the Fourth Proportional to 352.52, 529.06 and 198.60

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Solution

The fourth proportional to 352.52, 529.06 and 198.60 is: 298.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.52 : 529.06 = 198.60 : x
  2. Step 2: Convert to fraction form
    352.52/529.06 = 198.60/x
  3. Step 3: Cross multiply
    352.52x = 529.06 × 198.60
  4. Step 4: Simplify right side
    352.52x = 105,071.32
  5. Step 5: Solve for x
    x = 105,071.32/352.52
  6. Step 6: Final answer
    x = 298.06

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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.