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Finding the Fourth Proportional to 281.28, 420.06 and 227.04

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Solution

The fourth proportional to 281.28, 420.06 and 227.04 is: 339.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.28 : 420.06 = 227.04 : x
  2. Step 2: Convert to fraction form
    281.28/420.06 = 227.04/x
  3. Step 3: Cross multiply
    281.28x = 420.06 × 227.04
  4. Step 4: Simplify right side
    281.28x = 95,370.42
  5. Step 5: Solve for x
    x = 95,370.42/281.28
  6. Step 6: Final answer
    x = 339.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.