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Finding the Fourth Proportional to 552.11, 828.35 and 278.13

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Solution

The fourth proportional to 552.11, 828.35 and 278.13 is: 417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.11 : 828.35 = 278.13 : x
  2. Step 2: Convert to fraction form
    552.11/828.35 = 278.13/x
  3. Step 3: Cross multiply
    552.11x = 828.35 × 278.13
  4. Step 4: Simplify right side
    552.11x = 230,385.53
  5. Step 5: Solve for x
    x = 230,385.53/552.11
  6. Step 6: Final answer
    x = 417.28

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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.