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Finding the Fourth Proportional to 415.05, 570.38 and 396.03

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Solution

The fourth proportional to 415.05, 570.38 and 396.03 is: 544.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.05 : 570.38 = 396.03 : x
  2. Step 2: Convert to fraction form
    415.05/570.38 = 396.03/x
  3. Step 3: Cross multiply
    415.05x = 570.38 × 396.03
  4. Step 4: Simplify right side
    415.05x = 225,885.61
  5. Step 5: Solve for x
    x = 225,885.61/415.05
  6. Step 6: Final answer
    x = 544.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.