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Finding the Fourth Proportional to 281.27, 390.03 and 272.06

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Solution

The fourth proportional to 281.27, 390.03 and 272.06 is: 377.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.27 : 390.03 = 272.06 : x
  2. Step 2: Convert to fraction form
    281.27/390.03 = 272.06/x
  3. Step 3: Cross multiply
    281.27x = 390.03 × 272.06
  4. Step 4: Simplify right side
    281.27x = 106,111.56
  5. Step 5: Solve for x
    x = 106,111.56/281.27
  6. Step 6: Final answer
    x = 377.26

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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.