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Finding the Fourth Proportional to 268.09, 369.99 and 157.60

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Solution

The fourth proportional to 268.09, 369.99 and 157.60 is: 217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.09 : 369.99 = 157.60 : x
  2. Step 2: Convert to fraction form
    268.09/369.99 = 157.60/x
  3. Step 3: Cross multiply
    268.09x = 369.99 × 157.60
  4. Step 4: Simplify right side
    268.09x = 58,310.42
  5. Step 5: Solve for x
    x = 58,310.42/268.09
  6. Step 6: Final answer
    x = 217.50

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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.