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Finding the Fourth Proportional to 512.34, 767.09 and 306.20

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Solution

The fourth proportional to 512.34, 767.09 and 306.20 is: 458.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.34 : 767.09 = 306.20 : x
  2. Step 2: Convert to fraction form
    512.34/767.09 = 306.20/x
  3. Step 3: Cross multiply
    512.34x = 767.09 × 306.20
  4. Step 4: Simplify right side
    512.34x = 234,877.59
  5. Step 5: Solve for x
    x = 234,877.59/512.34
  6. Step 6: Final answer
    x = 458.44

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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.