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Finding the Fourth Proportional to 461.76, 637.21 and 251.94

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Solution

The fourth proportional to 461.76, 637.21 and 251.94 is: 347.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.76 : 637.21 = 251.94 : x
  2. Step 2: Convert to fraction form
    461.76/637.21 = 251.94/x
  3. Step 3: Cross multiply
    461.76x = 637.21 × 251.94
  4. Step 4: Simplify right side
    461.76x = 160,537.43
  5. Step 5: Solve for x
    x = 160,537.43/461.76
  6. Step 6: Final answer
    x = 347.66

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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.