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Finding the Fourth Proportional to 281.74, 419.32 and 279.52

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Solution

The fourth proportional to 281.74, 419.32 and 279.52 is: 416.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.74 : 419.32 = 279.52 : x
  2. Step 2: Convert to fraction form
    281.74/419.32 = 279.52/x
  3. Step 3: Cross multiply
    281.74x = 419.32 × 279.52
  4. Step 4: Simplify right side
    281.74x = 117,208.33
  5. Step 5: Solve for x
    x = 117,208.33/281.74
  6. Step 6: Final answer
    x = 416.02

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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.