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Finding the Fourth Proportional to 278.82, 415.26 and 275.58

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Solution

The fourth proportional to 278.82, 415.26 and 275.58 is: 410.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.82 : 415.26 = 275.58 : x
  2. Step 2: Convert to fraction form
    278.82/415.26 = 275.58/x
  3. Step 3: Cross multiply
    278.82x = 415.26 × 275.58
  4. Step 4: Simplify right side
    278.82x = 114,437.35
  5. Step 5: Solve for x
    x = 114,437.35/278.82
  6. Step 6: Final answer
    x = 410.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.