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Finding the Fourth Proportional to 427.60, 641.04 and 184.33

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Solution

The fourth proportional to 427.60, 641.04 and 184.33 is: 276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.60 : 641.04 = 184.33 : x
  2. Step 2: Convert to fraction form
    427.60/641.04 = 184.33/x
  3. Step 3: Cross multiply
    427.60x = 641.04 × 184.33
  4. Step 4: Simplify right side
    427.60x = 118,162.90
  5. Step 5: Solve for x
    x = 118,162.90/427.60
  6. Step 6: Final answer
    x = 276.34

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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.