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Finding the Fourth Proportional to 281.16, 419.94 and 223.45

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Solution

The fourth proportional to 281.16, 419.94 and 223.45 is: 333.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.16 : 419.94 = 223.45 : x
  2. Step 2: Convert to fraction form
    281.16/419.94 = 223.45/x
  3. Step 3: Cross multiply
    281.16x = 419.94 × 223.45
  4. Step 4: Simplify right side
    281.16x = 93,834.54
  5. Step 5: Solve for x
    x = 93,834.54/281.16
  6. Step 6: Final answer
    x = 333.74

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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.