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Finding the Fourth Proportional to 451.18, 677.42 and 278.56

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Solution

The fourth proportional to 451.18, 677.42 and 278.56 is: 418.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.18 : 677.42 = 278.56 : x
  2. Step 2: Convert to fraction form
    451.18/677.42 = 278.56/x
  3. Step 3: Cross multiply
    451.18x = 677.42 × 278.56
  4. Step 4: Simplify right side
    451.18x = 188,702.12
  5. Step 5: Solve for x
    x = 188,702.12/451.18
  6. Step 6: Final answer
    x = 418.24

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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.