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Finding the Fourth Proportional to 268.04, 369.40 and 194.22

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Solution

The fourth proportional to 268.04, 369.40 and 194.22 is: 267.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.04 : 369.40 = 194.22 : x
  2. Step 2: Convert to fraction form
    268.04/369.40 = 194.22/x
  3. Step 3: Cross multiply
    268.04x = 369.40 × 194.22
  4. Step 4: Simplify right side
    268.04x = 71,744.87
  5. Step 5: Solve for x
    x = 71,744.87/268.04
  6. Step 6: Final answer
    x = 267.66

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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.