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Finding the Fourth Proportional to 415.96, 624.33 and 210.68

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Solution

The fourth proportional to 415.96, 624.33 and 210.68 is: 316.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.96 : 624.33 = 210.68 : x
  2. Step 2: Convert to fraction form
    415.96/624.33 = 210.68/x
  3. Step 3: Cross multiply
    415.96x = 624.33 × 210.68
  4. Step 4: Simplify right side
    415.96x = 131,533.84
  5. Step 5: Solve for x
    x = 131,533.84/415.96
  6. Step 6: Final answer
    x = 316.22

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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.