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Finding the Fourth Proportional to 353.60, 529.72 and 199.06

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Solution

The fourth proportional to 353.60, 529.72 and 199.06 is: 298.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.60 : 529.72 = 199.06 : x
  2. Step 2: Convert to fraction form
    353.60/529.72 = 199.06/x
  3. Step 3: Cross multiply
    353.60x = 529.72 × 199.06
  4. Step 4: Simplify right side
    353.60x = 105,446.06
  5. Step 5: Solve for x
    x = 105,446.06/353.60
  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.