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Finding the Fourth Proportional to 427.01, 640.52 and 118.85

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Solution

The fourth proportional to 427.01, 640.52 and 118.85 is: 178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.01 : 640.52 = 118.85 : x
  2. Step 2: Convert to fraction form
    427.01/640.52 = 118.85/x
  3. Step 3: Cross multiply
    427.01x = 640.52 × 118.85
  4. Step 4: Simplify right side
    427.01x = 76,126.96
  5. Step 5: Solve for x
    x = 76,126.96/427.01
  6. Step 6: Final answer
    x = 178.28

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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.