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Finding the Fourth Proportional to 309.98, 465.42 and 194.60

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Solution

The fourth proportional to 309.98, 465.42 and 194.60 is: 292.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.98 : 465.42 = 194.60 : x
  2. Step 2: Convert to fraction form
    309.98/465.42 = 194.60/x
  3. Step 3: Cross multiply
    309.98x = 465.42 × 194.60
  4. Step 4: Simplify right side
    309.98x = 90,570.73
  5. Step 5: Solve for x
    x = 90,570.73/309.98
  6. Step 6: Final answer
    x = 292.18

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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.