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Finding the Fourth Proportional to 287.76, 396.94 and 194.34

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Solution

The fourth proportional to 287.76, 396.94 and 194.34 is: 268.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.76 : 396.94 = 194.34 : x
  2. Step 2: Convert to fraction form
    287.76/396.94 = 194.34/x
  3. Step 3: Cross multiply
    287.76x = 396.94 × 194.34
  4. Step 4: Simplify right side
    287.76x = 77,141.32
  5. Step 5: Solve for x
    x = 77,141.32/287.76
  6. Step 6: Final answer
    x = 268.08

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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.