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Finding the Fourth Proportional to 423.62, 634.20 and 260.80

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Solution

The fourth proportional to 423.62, 634.20 and 260.80 is: 390.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.62 : 634.20 = 260.80 : x
  2. Step 2: Convert to fraction form
    423.62/634.20 = 260.80/x
  3. Step 3: Cross multiply
    423.62x = 634.20 × 260.80
  4. Step 4: Simplify right side
    423.62x = 165,399.36
  5. Step 5: Solve for x
    x = 165,399.36/423.62
  6. Step 6: Final answer
    x = 390.44

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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.