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Finding the Fourth Proportional to 423.67, 636.29 and 346.80

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Solution

The fourth proportional to 423.67, 636.29 and 346.80 is: 520.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.67 : 636.29 = 346.80 : x
  2. Step 2: Convert to fraction form
    423.67/636.29 = 346.80/x
  3. Step 3: Cross multiply
    423.67x = 636.29 × 346.80
  4. Step 4: Simplify right side
    423.67x = 220,665.37
  5. Step 5: Solve for x
    x = 220,665.37/423.67
  6. Step 6: Final answer
    x = 520.84

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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.