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Finding the Fourth Proportional to 409.41, 564.39 and 311.00

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Solution

The fourth proportional to 409.41, 564.39 and 311.00 is: 428.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.41 : 564.39 = 311.00 : x
  2. Step 2: Convert to fraction form
    409.41/564.39 = 311.00/x
  3. Step 3: Cross multiply
    409.41x = 564.39 × 311.00
  4. Step 4: Simplify right side
    409.41x = 175,525.75
  5. Step 5: Solve for x
    x = 175,525.75/409.41
  6. Step 6: Final answer
    x = 428.72

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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.