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Finding the Fourth Proportional to 278.82, 415.28 and 264.18

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Solution

The fourth proportional to 278.82, 415.28 and 264.18 is: 393.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.82 : 415.28 = 264.18 : x
  2. Step 2: Convert to fraction form
    278.82/415.28 = 264.18/x
  3. Step 3: Cross multiply
    278.82x = 415.28 × 264.18
  4. Step 4: Simplify right side
    278.82x = 109,709.33
  5. Step 5: Solve for x
    x = 109,709.33/278.82
  6. Step 6: Final answer
    x = 393.48

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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.