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Finding the Fourth Proportional to 415.96, 573.58 and 382.20

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Solution

The fourth proportional to 415.96, 573.58 and 382.20 is: 527.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.96 : 573.58 = 382.20 : x
  2. Step 2: Convert to fraction form
    415.96/573.58 = 382.20/x
  3. Step 3: Cross multiply
    415.96x = 573.58 × 382.20
  4. Step 4: Simplify right side
    415.96x = 219,222.28
  5. Step 5: Solve for x
    x = 219,222.28/415.96
  6. Step 6: Final answer
    x = 527.03

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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.