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Finding the Fourth Proportional to 409.63, 564.41 and 278.41

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Solution

The fourth proportional to 409.63, 564.41 and 278.41 is: 383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.63 : 564.41 = 278.41 : x
  2. Step 2: Convert to fraction form
    409.63/564.41 = 278.41/x
  3. Step 3: Cross multiply
    409.63x = 564.41 × 278.41
  4. Step 4: Simplify right side
    409.63x = 157,137.39
  5. Step 5: Solve for x
    x = 157,137.39/409.63
  6. Step 6: Final answer
    x = 383.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.