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Finding the Fourth Proportional to 415.68, 622.31 and 261.11

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Solution

The fourth proportional to 415.68, 622.31 and 261.11 is: 390.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.68 : 622.31 = 261.11 : x
  2. Step 2: Convert to fraction form
    415.68/622.31 = 261.11/x
  3. Step 3: Cross multiply
    415.68x = 622.31 × 261.11
  4. Step 4: Simplify right side
    415.68x = 162,491.36
  5. Step 5: Solve for x
    x = 162,491.36/415.68
  6. Step 6: Final answer
    x = 390.90

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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.