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Finding the Fourth Proportional to 353.14, 486.96 and 228.80

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Solution

The fourth proportional to 353.14, 486.96 and 228.80 is: 315.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.14 : 486.96 = 228.80 : x
  2. Step 2: Convert to fraction form
    353.14/486.96 = 228.80/x
  3. Step 3: Cross multiply
    353.14x = 486.96 × 228.80
  4. Step 4: Simplify right side
    353.14x = 111,416.45
  5. Step 5: Solve for x
    x = 111,416.45/353.14
  6. Step 6: Final answer
    x = 315.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.