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Finding the Fourth Proportional to 427.50, 641.28 and 183.96

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Solution

The fourth proportional to 427.50, 641.28 and 183.96 is: 275.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.50 : 641.28 = 183.96 : x
  2. Step 2: Convert to fraction form
    427.50/641.28 = 183.96/x
  3. Step 3: Cross multiply
    427.50x = 641.28 × 183.96
  4. Step 4: Simplify right side
    427.50x = 117,969.87
  5. Step 5: Solve for x
    x = 117,969.87/427.50
  6. Step 6: Final answer
    x = 275.95

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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.