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Finding the Fourth Proportional to 461.28, 636.58 and 251.47

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Solution

The fourth proportional to 461.28, 636.58 and 251.47 is: 347.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.28 : 636.58 = 251.47 : x
  2. Step 2: Convert to fraction form
    461.28/636.58 = 251.47/x
  3. Step 3: Cross multiply
    461.28x = 636.58 × 251.47
  4. Step 4: Simplify right side
    461.28x = 160,079.52
  5. Step 5: Solve for x
    x = 160,079.52/461.28
  6. Step 6: Final answer
    x = 347.03

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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.