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Finding the Fourth Proportional to 409.14, 563.94 and 268.98

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Solution

The fourth proportional to 409.14, 563.94 and 268.98 is: 370.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.14 : 563.94 = 268.98 : x
  2. Step 2: Convert to fraction form
    409.14/563.94 = 268.98/x
  3. Step 3: Cross multiply
    409.14x = 563.94 × 268.98
  4. Step 4: Simplify right side
    409.14x = 151,688.58
  5. Step 5: Solve for x
    x = 151,688.58/409.14
  6. Step 6: Final answer
    x = 370.75

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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.