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Finding the Fourth Proportional to 415.56, 573.08 and 310.91

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Solution

The fourth proportional to 415.56, 573.08 and 310.91 is: 428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.56 : 573.08 = 310.91 : x
  2. Step 2: Convert to fraction form
    415.56/573.08 = 310.91/x
  3. Step 3: Cross multiply
    415.56x = 573.08 × 310.91
  4. Step 4: Simplify right side
    415.56x = 178,171.88
  5. Step 5: Solve for x
    x = 178,171.88/415.56
  6. Step 6: Final answer
    x = 428.75

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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.