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Finding the Fourth Proportional to 281.17, 385.20 and 270.65

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Solution

The fourth proportional to 281.17, 385.20 and 270.65 is: 370.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.17 : 385.20 = 270.65 : x
  2. Step 2: Convert to fraction form
    281.17/385.20 = 270.65/x
  3. Step 3: Cross multiply
    281.17x = 385.20 × 270.65
  4. Step 4: Simplify right side
    281.17x = 104,254.38
  5. Step 5: Solve for x
    x = 104,254.38/281.17
  6. Step 6: Final answer
    x = 370.79

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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.