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Finding the Fourth Proportional to 415.40, 623.09 and 171.94

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Solution

The fourth proportional to 415.40, 623.09 and 171.94 is: 257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.40 : 623.09 = 171.94 : x
  2. Step 2: Convert to fraction form
    415.40/623.09 = 171.94/x
  3. Step 3: Cross multiply
    415.40x = 623.09 × 171.94
  4. Step 4: Simplify right side
    415.40x = 107,134.09
  5. Step 5: Solve for x
    x = 107,134.09/415.40
  6. Step 6: Final answer
    x = 257.91

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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.