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Finding the Fourth Proportional to 409.49, 564.98 and 252.05

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Solution

The fourth proportional to 409.49, 564.98 and 252.05 is: 347.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.49 : 564.98 = 252.05 : x
  2. Step 2: Convert to fraction form
    409.49/564.98 = 252.05/x
  3. Step 3: Cross multiply
    409.49x = 564.98 × 252.05
  4. Step 4: Simplify right side
    409.49x = 142,399.12
  5. Step 5: Solve for x
    x = 142,399.12/409.49
  6. Step 6: Final answer
    x = 347.75

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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.