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Finding the Fourth Proportional to 281.27, 388.32 and 181.77

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Solution

The fourth proportional to 281.27, 388.32 and 181.77 is: 250.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.27 : 388.32 = 181.77 : x
  2. Step 2: Convert to fraction form
    281.27/388.32 = 181.77/x
  3. Step 3: Cross multiply
    281.27x = 388.32 × 181.77
  4. Step 4: Simplify right side
    281.27x = 70,582.98
  5. Step 5: Solve for x
    x = 70,582.98/281.27
  6. Step 6: Final answer
    x = 250.95

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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.