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Finding the Fourth Proportional to 415.76, 624.04 and 223.78

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Solution

The fourth proportional to 415.76, 624.04 and 223.78 is: 335.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.76 : 624.04 = 223.78 : x
  2. Step 2: Convert to fraction form
    415.76/624.04 = 223.78/x
  3. Step 3: Cross multiply
    415.76x = 624.04 × 223.78
  4. Step 4: Simplify right side
    415.76x = 139,647.67
  5. Step 5: Solve for x
    x = 139,647.67/415.76
  6. Step 6: Final answer
    x = 335.89

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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.