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Finding the Fourth Proportional to 415.50, 623.06 and 220.06

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Solution

The fourth proportional to 415.50, 623.06 and 220.06 is: 329.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.50 : 623.06 = 220.06 : x
  2. Step 2: Convert to fraction form
    415.50/623.06 = 220.06/x
  3. Step 3: Cross multiply
    415.50x = 623.06 × 220.06
  4. Step 4: Simplify right side
    415.50x = 137,110.58
  5. Step 5: Solve for x
    x = 137,110.58/415.50
  6. Step 6: Final answer
    x = 329.99

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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.