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Finding the Fourth Proportional to 423.83, 634.38 and 250.07

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Solution

The fourth proportional to 423.83, 634.38 and 250.07 is: 374.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.83 : 634.38 = 250.07 : x
  2. Step 2: Convert to fraction form
    423.83/634.38 = 250.07/x
  3. Step 3: Cross multiply
    423.83x = 634.38 × 250.07
  4. Step 4: Simplify right side
    423.83x = 158,635.30
  5. Step 5: Solve for x
    x = 158,635.30/423.83
  6. Step 6: Final answer
    x = 374.29

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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.