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Finding the Fourth Proportional to 281.70, 423.41 and 179.64

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Solution

The fourth proportional to 281.70, 423.41 and 179.64 is: 270.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.70 : 423.41 = 179.64 : x
  2. Step 2: Convert to fraction form
    281.70/423.41 = 179.64/x
  3. Step 3: Cross multiply
    281.70x = 423.41 × 179.64
  4. Step 4: Simplify right side
    281.70x = 76,061.37
  5. Step 5: Solve for x
    x = 76,061.37/281.70
  6. Step 6: Final answer
    x = 270.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.