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Finding the Fourth Proportional to 281.14, 389.62 and 277.22

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Solution

The fourth proportional to 281.14, 389.62 and 277.22 is: 384.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.14 : 389.62 = 277.22 : x
  2. Step 2: Convert to fraction form
    281.14/389.62 = 277.22/x
  3. Step 3: Cross multiply
    281.14x = 389.62 × 277.22
  4. Step 4: Simplify right side
    281.14x = 108,010.04
  5. Step 5: Solve for x
    x = 108,010.04/281.14
  6. Step 6: Final answer
    x = 384.19

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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.