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Finding the Fourth Proportional to 281.13, 419.68 and 279.19

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Solution

The fourth proportional to 281.13, 419.68 and 279.19 is: 416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.13 : 419.68 = 279.19 : x
  2. Step 2: Convert to fraction form
    281.13/419.68 = 279.19/x
  3. Step 3: Cross multiply
    281.13x = 419.68 × 279.19
  4. Step 4: Simplify right side
    281.13x = 117,171.16
  5. Step 5: Solve for x
    x = 117,171.16/281.13
  6. Step 6: Final answer
    x = 416.79

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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.