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Finding the Fourth Proportional to 513.21, 769.82 and 148.04

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Solution

The fourth proportional to 513.21, 769.82 and 148.04 is: 222.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.21 : 769.82 = 148.04 : x
  2. Step 2: Convert to fraction form
    513.21/769.82 = 148.04/x
  3. Step 3: Cross multiply
    513.21x = 769.82 × 148.04
  4. Step 4: Simplify right side
    513.21x = 113,959.56
  5. Step 5: Solve for x
    x = 113,959.56/513.21
  6. Step 6: Final answer
    x = 222.05

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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.