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Finding the Fourth Proportional to 461.27, 636.54 and 251.45

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Solution

The fourth proportional to 461.27, 636.54 and 251.45 is: 346.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.27 : 636.54 = 251.45 : x
  2. Step 2: Convert to fraction form
    461.27/636.54 = 251.45/x
  3. Step 3: Cross multiply
    461.27x = 636.54 × 251.45
  4. Step 4: Simplify right side
    461.27x = 160,054.81
  5. Step 5: Solve for x
    x = 160,054.81/461.27
  6. Step 6: Final answer
    x = 346.98

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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.