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Finding the Fourth Proportional to 281.81, 419.78 and 268.72

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Solution

The fourth proportional to 281.81, 419.78 and 268.72 is: 400.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.81 : 419.78 = 268.72 : x
  2. Step 2: Convert to fraction form
    281.81/419.78 = 268.72/x
  3. Step 3: Cross multiply
    281.81x = 419.78 × 268.72
  4. Step 4: Simplify right side
    281.81x = 112,802.90
  5. Step 5: Solve for x
    x = 112,802.90/281.81
  6. Step 6: Final answer
    x = 400.28

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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.