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Finding the Fourth Proportional to 488.56, 733.51 and 272.30

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Solution

The fourth proportional to 488.56, 733.51 and 272.30 is: 408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.56 : 733.51 = 272.30 : x
  2. Step 2: Convert to fraction form
    488.56/733.51 = 272.30/x
  3. Step 3: Cross multiply
    488.56x = 733.51 × 272.30
  4. Step 4: Simplify right side
    488.56x = 199,734.77
  5. Step 5: Solve for x
    x = 199,734.77/488.56
  6. Step 6: Final answer
    x = 408.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.