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Finding the Fourth Proportional to 281.58, 390.22 and 277.66

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Solution

The fourth proportional to 281.58, 390.22 and 277.66 is: 384.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.58 : 390.22 = 277.66 : x
  2. Step 2: Convert to fraction form
    281.58/390.22 = 277.66/x
  3. Step 3: Cross multiply
    281.58x = 390.22 × 277.66
  4. Step 4: Simplify right side
    281.58x = 108,348.49
  5. Step 5: Solve for x
    x = 108,348.49/281.58
  6. Step 6: Final answer
    x = 384.79

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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.