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Finding the Fourth Proportional to 427.45, 641.40 and 184.18

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Solution

The fourth proportional to 427.45, 641.40 and 184.18 is: 276.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.45 : 641.40 = 184.18 : x
  2. Step 2: Convert to fraction form
    427.45/641.40 = 184.18/x
  3. Step 3: Cross multiply
    427.45x = 641.40 × 184.18
  4. Step 4: Simplify right side
    427.45x = 118,133.05
  5. Step 5: Solve for x
    x = 118,133.05/427.45
  6. Step 6: Final answer
    x = 276.37

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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.