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Finding the Fourth Proportional to 281.48, 385.65 and 278.06

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Solution

The fourth proportional to 281.48, 385.65 and 278.06 is: 380.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.48 : 385.65 = 278.06 : x
  2. Step 2: Convert to fraction form
    281.48/385.65 = 278.06/x
  3. Step 3: Cross multiply
    281.48x = 385.65 × 278.06
  4. Step 4: Simplify right side
    281.48x = 107,231.91
  5. Step 5: Solve for x
    x = 107,231.91/281.48
  6. Step 6: Final answer
    x = 380.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.