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Finding the Fourth Proportional to 278.12, 414.28 and 265.64

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Solution

The fourth proportional to 278.12, 414.28 and 265.64 is: 395.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.12 : 414.28 = 265.64 : x
  2. Step 2: Convert to fraction form
    278.12/414.28 = 265.64/x
  3. Step 3: Cross multiply
    278.12x = 414.28 × 265.64
  4. Step 4: Simplify right side
    278.12x = 110,049.34
  5. Step 5: Solve for x
    x = 110,049.34/278.12
  6. Step 6: Final answer
    x = 395.69

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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.