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Finding the Fourth Proportional to 281.84, 389.22 and 281.30

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Solution

The fourth proportional to 281.84, 389.22 and 281.30 is: 388.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.84 : 389.22 = 281.30 : x
  2. Step 2: Convert to fraction form
    281.84/389.22 = 281.30/x
  3. Step 3: Cross multiply
    281.84x = 389.22 × 281.30
  4. Step 4: Simplify right side
    281.84x = 109,487.59
  5. Step 5: Solve for x
    x = 109,487.59/281.84
  6. Step 6: Final answer
    x = 388.47

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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.