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Finding the Fourth Proportional to 409.50, 563.40 and 354.06

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Solution

The fourth proportional to 409.50, 563.40 and 354.06 is: 487.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.50 : 563.40 = 354.06 : x
  2. Step 2: Convert to fraction form
    409.50/563.40 = 354.06/x
  3. Step 3: Cross multiply
    409.50x = 563.40 × 354.06
  4. Step 4: Simplify right side
    409.50x = 199,477.40
  5. Step 5: Solve for x
    x = 199,477.40/409.50
  6. Step 6: Final answer
    x = 487.12

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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.