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Finding the Fourth Proportional to 408.34, 563.52 and 253

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Solution

The fourth proportional to 408.34, 563.52 and 253 is: 349.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.34 : 563.52 = 253 : x
  2. Step 2: Convert to fraction form
    408.34/563.52 = 253/x
  3. Step 3: Cross multiply
    408.34x = 563.52 × 253
  4. Step 4: Simplify right side
    408.34x = 142,570.56
  5. Step 5: Solve for x
    x = 142,570.56/408.34
  6. Step 6: Final answer
    x = 349.15

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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.