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Finding the Fourth Proportional to 281.91, 419.43 and 280.95

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Solution

The fourth proportional to 281.91, 419.43 and 280.95 is: 418.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.91 : 419.43 = 280.95 : x
  2. Step 2: Convert to fraction form
    281.91/419.43 = 280.95/x
  3. Step 3: Cross multiply
    281.91x = 419.43 × 280.95
  4. Step 4: Simplify right side
    281.91x = 117,838.86
  5. Step 5: Solve for x
    x = 117,838.86/281.91
  6. Step 6: Final answer
    x = 418.00

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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.