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Finding the Fourth Proportional to 287.23, 395.82 and 234.91

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Solution

The fourth proportional to 287.23, 395.82 and 234.91 is: 323.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.23 : 395.82 = 234.91 : x
  2. Step 2: Convert to fraction form
    287.23/395.82 = 234.91/x
  3. Step 3: Cross multiply
    287.23x = 395.82 × 234.91
  4. Step 4: Simplify right side
    287.23x = 92,982.08
  5. Step 5: Solve for x
    x = 92,982.08/287.23
  6. Step 6: Final answer
    x = 323.72

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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.