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Finding the Fourth Proportional to 409.64, 564.91 and 276.88

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Solution

The fourth proportional to 409.64, 564.91 and 276.88 is: 381.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.64 : 564.91 = 276.88 : x
  2. Step 2: Convert to fraction form
    409.64/564.91 = 276.88/x
  3. Step 3: Cross multiply
    409.64x = 564.91 × 276.88
  4. Step 4: Simplify right side
    409.64x = 156,412.28
  5. Step 5: Solve for x
    x = 156,412.28/409.64
  6. Step 6: Final answer
    x = 381.83

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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.