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Finding the Fourth Proportional to 423.98, 635.98 and 180.50

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Solution

The fourth proportional to 423.98, 635.98 and 180.50 is: 270.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.98 : 635.98 = 180.50 : x
  2. Step 2: Convert to fraction form
    423.98/635.98 = 180.50/x
  3. Step 3: Cross multiply
    423.98x = 635.98 × 180.50
  4. Step 4: Simplify right side
    423.98x = 114,794.39
  5. Step 5: Solve for x
    x = 114,794.39/423.98
  6. Step 6: Final answer
    x = 270.75

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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.