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Finding the Fourth Proportional to 281.25, 419.72 and 250.49

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Solution

The fourth proportional to 281.25, 419.72 and 250.49 is: 373.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.25 : 419.72 = 250.49 : x
  2. Step 2: Convert to fraction form
    281.25/419.72 = 250.49/x
  3. Step 3: Cross multiply
    281.25x = 419.72 × 250.49
  4. Step 4: Simplify right side
    281.25x = 105,137.31
  5. Step 5: Solve for x
    x = 105,137.31/281.25
  6. Step 6: Final answer
    x = 373.83

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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.