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Finding the Fourth Proportional to 552.33, 827.82 and 278.28

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Solution

The fourth proportional to 552.33, 827.82 and 278.28 is: 417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.33 : 827.82 = 278.28 : x
  2. Step 2: Convert to fraction form
    552.33/827.82 = 278.28/x
  3. Step 3: Cross multiply
    552.33x = 827.82 × 278.28
  4. Step 4: Simplify right side
    552.33x = 230,360.57
  5. Step 5: Solve for x
    x = 230,360.57/552.33
  6. Step 6: Final answer
    x = 417.07

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Why These Related Problems?

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