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Finding the Fourth Proportional to 409.59, 564.84 and 311.31

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Solution

The fourth proportional to 409.59, 564.84 and 311.31 is: 429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.59 : 564.84 = 311.31 : x
  2. Step 2: Convert to fraction form
    409.59/564.84 = 311.31/x
  3. Step 3: Cross multiply
    409.59x = 564.84 × 311.31
  4. Step 4: Simplify right side
    409.59x = 175,840.34
  5. Step 5: Solve for x
    x = 175,840.34/409.59
  6. Step 6: Final answer
    x = 429.31

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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.