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Finding the Fourth Proportional to 461.78, 636.45 and 345.14

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Solution

The fourth proportional to 461.78, 636.45 and 345.14 is: 475.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.78 : 636.45 = 345.14 : x
  2. Step 2: Convert to fraction form
    461.78/636.45 = 345.14/x
  3. Step 3: Cross multiply
    461.78x = 636.45 × 345.14
  4. Step 4: Simplify right side
    461.78x = 219,664.35
  5. Step 5: Solve for x
    x = 219,664.35/461.78
  6. Step 6: Final answer
    x = 475.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.