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Finding the Fourth Proportional to 415.30, 622.48 and 250.81

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Solution

The fourth proportional to 415.30, 622.48 and 250.81 is: 375.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.30 : 622.48 = 250.81 : x
  2. Step 2: Convert to fraction form
    415.30/622.48 = 250.81/x
  3. Step 3: Cross multiply
    415.30x = 622.48 × 250.81
  4. Step 4: Simplify right side
    415.30x = 156,124.21
  5. Step 5: Solve for x
    x = 156,124.21/415.30
  6. Step 6: Final answer
    x = 375.93

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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.