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Finding the Fourth Proportional to 552.21, 827.90 and 278.22

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Solution

The fourth proportional to 552.21, 827.90 and 278.22 is: 417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.21 : 827.90 = 278.22 : x
  2. Step 2: Convert to fraction form
    552.21/827.90 = 278.22/x
  3. Step 3: Cross multiply
    552.21x = 827.90 × 278.22
  4. Step 4: Simplify right side
    552.21x = 230,338.34
  5. Step 5: Solve for x
    x = 230,338.34/552.21
  6. Step 6: Final answer
    x = 417.12

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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.