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Finding the Fourth Proportional to 409.12, 564.44 and 278.20

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Solution

The fourth proportional to 409.12, 564.44 and 278.20 is: 383.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.12 : 564.44 = 278.20 : x
  2. Step 2: Convert to fraction form
    409.12/564.44 = 278.20/x
  3. Step 3: Cross multiply
    409.12x = 564.44 × 278.20
  4. Step 4: Simplify right side
    409.12x = 157,027.21
  5. Step 5: Solve for x
    x = 157,027.21/409.12
  6. Step 6: Final answer
    x = 383.82

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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.