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Finding the Fourth Proportional to 281.50, 419.96 and 268.45

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Solution

The fourth proportional to 281.50, 419.96 and 268.45 is: 400.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.50 : 419.96 = 268.45 : x
  2. Step 2: Convert to fraction form
    281.50/419.96 = 268.45/x
  3. Step 3: Cross multiply
    281.50x = 419.96 × 268.45
  4. Step 4: Simplify right side
    281.50x = 112,737.88
  5. Step 5: Solve for x
    x = 112,737.88/281.50
  6. Step 6: Final answer
    x = 400.49

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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.