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Finding the Fourth Proportional to 280.16, 422.24 and 277.41

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Solution

The fourth proportional to 280.16, 422.24 and 277.41 is: 418.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.16 : 422.24 = 277.41 : x
  2. Step 2: Convert to fraction form
    280.16/422.24 = 277.41/x
  3. Step 3: Cross multiply
    280.16x = 422.24 × 277.41
  4. Step 4: Simplify right side
    280.16x = 117,132.21
  5. Step 5: Solve for x
    x = 117,132.21/280.16
  6. Step 6: Final answer
    x = 418.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.