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Finding the Fourth Proportional to 278.71, 415.49 and 265.75

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Solution

The fourth proportional to 278.71, 415.49 and 265.75 is: 396.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.71 : 415.49 = 265.75 : x
  2. Step 2: Convert to fraction form
    278.71/415.49 = 265.75/x
  3. Step 3: Cross multiply
    278.71x = 415.49 × 265.75
  4. Step 4: Simplify right side
    278.71x = 110,416.47
  5. Step 5: Solve for x
    x = 110,416.47/278.71
  6. Step 6: Final answer
    x = 396.17

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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.