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Finding the Fourth Proportional to 427.84, 641.75 and 119.71

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Solution

The fourth proportional to 427.84, 641.75 and 119.71 is: 179.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.84 : 641.75 = 119.71 : x
  2. Step 2: Convert to fraction form
    427.84/641.75 = 119.71/x
  3. Step 3: Cross multiply
    427.84x = 641.75 × 119.71
  4. Step 4: Simplify right side
    427.84x = 76,823.89
  5. Step 5: Solve for x
    x = 76,823.89/427.84
  6. Step 6: Final answer
    x = 179.56

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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.