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Finding the Fourth Proportional to 552.22, 828.33 and 278.15

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Solution

The fourth proportional to 552.22, 828.33 and 278.15 is: 417.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.22 : 828.33 = 278.15 : x
  2. Step 2: Convert to fraction form
    552.22/828.33 = 278.15/x
  3. Step 3: Cross multiply
    552.22x = 828.33 × 278.15
  4. Step 4: Simplify right side
    552.22x = 230,399.46
  5. Step 5: Solve for x
    x = 230,399.46/552.22
  6. Step 6: Final answer
    x = 417.23

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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.