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Finding the Fourth Proportional to 427.16, 640.29 and 180.50

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Solution

The fourth proportional to 427.16, 640.29 and 180.50 is: 270.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.16 : 640.29 = 180.50 : x
  2. Step 2: Convert to fraction form
    427.16/640.29 = 180.50/x
  3. Step 3: Cross multiply
    427.16x = 640.29 × 180.50
  4. Step 4: Simplify right side
    427.16x = 115,572.41
  5. Step 5: Solve for x
    x = 115,572.41/427.16
  6. Step 6: Final answer
    x = 270.56

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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.