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Finding the Fourth Proportional to 427.28, 640.82 and 183.75

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Solution

The fourth proportional to 427.28, 640.82 and 183.75 is: 275.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.28 : 640.82 = 183.75 : x
  2. Step 2: Convert to fraction form
    427.28/640.82 = 183.75/x
  3. Step 3: Cross multiply
    427.28x = 640.82 × 183.75
  4. Step 4: Simplify right side
    427.28x = 117,749.76
  5. Step 5: Solve for x
    x = 117,749.76/427.28
  6. Step 6: Final answer
    x = 275.58

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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.