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Finding the Fourth Proportional to 461.98, 637.51 and 252.15

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Solution

The fourth proportional to 461.98, 637.51 and 252.15 is: 347.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.98 : 637.51 = 252.15 : x
  2. Step 2: Convert to fraction form
    461.98/637.51 = 252.15/x
  3. Step 3: Cross multiply
    461.98x = 637.51 × 252.15
  4. Step 4: Simplify right side
    461.98x = 160,748.15
  5. Step 5: Solve for x
    x = 160,748.15/461.98
  6. Step 6: Final answer
    x = 347.95

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