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Finding the Fourth Proportional to 287.19, 397.99 and 281.73

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Solution

The fourth proportional to 287.19, 397.99 and 281.73 is: 390.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.19 : 397.99 = 281.73 : x
  2. Step 2: Convert to fraction form
    287.19/397.99 = 281.73/x
  3. Step 3: Cross multiply
    287.19x = 397.99 × 281.73
  4. Step 4: Simplify right side
    287.19x = 112,125.72
  5. Step 5: Solve for x
    x = 112,125.72/287.19
  6. Step 6: Final answer
    x = 390.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.