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Finding the Fourth Proportional to 334.78, 501.42 and 151.92

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Solution

The fourth proportional to 334.78, 501.42 and 151.92 is: 227.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.78 : 501.42 = 151.92 : x
  2. Step 2: Convert to fraction form
    334.78/501.42 = 151.92/x
  3. Step 3: Cross multiply
    334.78x = 501.42 × 151.92
  4. Step 4: Simplify right side
    334.78x = 76,175.73
  5. Step 5: Solve for x
    x = 76,175.73/334.78
  6. Step 6: Final answer
    x = 227.54

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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.