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Finding the Fourth Proportional to 281.21, 416.07 and 280.40

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Solution

The fourth proportional to 281.21, 416.07 and 280.40 is: 414.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.21 : 416.07 = 280.40 : x
  2. Step 2: Convert to fraction form
    281.21/416.07 = 280.40/x
  3. Step 3: Cross multiply
    281.21x = 416.07 × 280.40
  4. Step 4: Simplify right side
    281.21x = 116,663.95
  5. Step 5: Solve for x
    x = 116,663.95/281.21
  6. Step 6: Final answer
    x = 414.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.