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Finding the Fourth Proportional to 280.41, 423.12 and 269.18

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Solution

The fourth proportional to 280.41, 423.12 and 269.18 is: 406.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.41 : 423.12 = 269.18 : x
  2. Step 2: Convert to fraction form
    280.41/423.12 = 269.18/x
  3. Step 3: Cross multiply
    280.41x = 423.12 × 269.18
  4. Step 4: Simplify right side
    280.41x = 113,893.33
  5. Step 5: Solve for x
    x = 113,893.33/280.41
  6. Step 6: Final answer
    x = 406.17

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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.