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Finding the Fourth Proportional to 409.18, 564.84 and 310.96

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Solution

The fourth proportional to 409.18, 564.84 and 310.96 is: 429.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.18 : 564.84 = 310.96 : x
  2. Step 2: Convert to fraction form
    409.18/564.84 = 310.96/x
  3. Step 3: Cross multiply
    409.18x = 564.84 × 310.96
  4. Step 4: Simplify right side
    409.18x = 175,642.65
  5. Step 5: Solve for x
    x = 175,642.65/409.18
  6. Step 6: Final answer
    x = 429.26

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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.