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Finding the Fourth Proportional to 415.06, 623.28 and 371.20

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Solution

The fourth proportional to 415.06, 623.28 and 371.20 is: 557.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.06 : 623.28 = 371.20 : x
  2. Step 2: Convert to fraction form
    415.06/623.28 = 371.20/x
  3. Step 3: Cross multiply
    415.06x = 623.28 × 371.20
  4. Step 4: Simplify right side
    415.06x = 231,361.54
  5. Step 5: Solve for x
    x = 231,361.54/415.06
  6. Step 6: Final answer
    x = 557.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.