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Finding the Fourth Proportional to 415.30, 622.61 and 284.90

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Solution

The fourth proportional to 415.30, 622.61 and 284.90 is: 427.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.30 : 622.61 = 284.90 : x
  2. Step 2: Convert to fraction form
    415.30/622.61 = 284.90/x
  3. Step 3: Cross multiply
    415.30x = 622.61 × 284.90
  4. Step 4: Simplify right side
    415.30x = 177,383.86
  5. Step 5: Solve for x
    x = 177,383.86/415.30
  6. Step 6: Final answer
    x = 427.12

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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.