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Finding the Fourth Proportional to 312.04, 467.08 and 196.60

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Solution

The fourth proportional to 312.04, 467.08 and 196.60 is: 294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.04 : 467.08 = 196.60 : x
  2. Step 2: Convert to fraction form
    312.04/467.08 = 196.60/x
  3. Step 3: Cross multiply
    312.04x = 467.08 × 196.60
  4. Step 4: Simplify right side
    312.04x = 91,827.93
  5. Step 5: Solve for x
    x = 91,827.93/312.04
  6. Step 6: Final answer
    x = 294.28

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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.