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Finding the Fourth Proportional to 415.34, 623.20 and 171.80

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Solution

The fourth proportional to 415.34, 623.20 and 171.80 is: 257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.34 : 623.20 = 171.80 : x
  2. Step 2: Convert to fraction form
    415.34/623.20 = 171.80/x
  3. Step 3: Cross multiply
    415.34x = 623.20 × 171.80
  4. Step 4: Simplify right side
    415.34x = 107,065.76
  5. Step 5: Solve for x
    x = 107,065.76/415.34
  6. Step 6: Final answer
    x = 257.78

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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.