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Finding the Fourth Proportional to 268.08, 369.80 and 174.69

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Solution

The fourth proportional to 268.08, 369.80 and 174.69 is: 240.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.08 : 369.80 = 174.69 : x
  2. Step 2: Convert to fraction form
    268.08/369.80 = 174.69/x
  3. Step 3: Cross multiply
    268.08x = 369.80 × 174.69
  4. Step 4: Simplify right side
    268.08x = 64,600.36
  5. Step 5: Solve for x
    x = 64,600.36/268.08
  6. Step 6: Final answer
    x = 240.97

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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.