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Finding the Fourth Proportional to 287.41, 396.63 and 169.39

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Solution

The fourth proportional to 287.41, 396.63 and 169.39 is: 233.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.41 : 396.63 = 169.39 : x
  2. Step 2: Convert to fraction form
    287.41/396.63 = 169.39/x
  3. Step 3: Cross multiply
    287.41x = 396.63 × 169.39
  4. Step 4: Simplify right side
    287.41x = 67,184.31
  5. Step 5: Solve for x
    x = 67,184.31/287.41
  6. Step 6: Final answer
    x = 233.76

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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.