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Finding the Fourth Proportional to 292.08, 435.96 and 219.60

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Solution

The fourth proportional to 292.08, 435.96 and 219.60 is: 327.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.08 : 435.96 = 219.60 : x
  2. Step 2: Convert to fraction form
    292.08/435.96 = 219.60/x
  3. Step 3: Cross multiply
    292.08x = 435.96 × 219.60
  4. Step 4: Simplify right side
    292.08x = 95,736.82
  5. Step 5: Solve for x
    x = 95,736.82/292.08
  6. Step 6: Final answer
    x = 327.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.