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Finding the Fourth Proportional to 423.57, 634.32 and 261.03

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Solution

The fourth proportional to 423.57, 634.32 and 261.03 is: 390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.57 : 634.32 = 261.03 : x
  2. Step 2: Convert to fraction form
    423.57/634.32 = 261.03/x
  3. Step 3: Cross multiply
    423.57x = 634.32 × 261.03
  4. Step 4: Simplify right side
    423.57x = 165,576.55
  5. Step 5: Solve for x
    x = 165,576.55/423.57
  6. Step 6: Final answer
    x = 390.91

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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.