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Finding the Fourth Proportional to 427.25, 640.88 and 123.25

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Solution

The fourth proportional to 427.25, 640.88 and 123.25 is: 184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.25 : 640.88 = 123.25 : x
  2. Step 2: Convert to fraction form
    427.25/640.88 = 123.25/x
  3. Step 3: Cross multiply
    427.25x = 640.88 × 123.25
  4. Step 4: Simplify right side
    427.25x = 78,988.46
  5. Step 5: Solve for x
    x = 78,988.46/427.25
  6. Step 6: Final answer
    x = 184.88

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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.