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Finding the Fourth Proportional to 278.81, 414.47 and 270.62

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Solution

The fourth proportional to 278.81, 414.47 and 270.62 is: 402.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.81 : 414.47 = 270.62 : x
  2. Step 2: Convert to fraction form
    278.81/414.47 = 270.62/x
  3. Step 3: Cross multiply
    278.81x = 414.47 × 270.62
  4. Step 4: Simplify right side
    278.81x = 112,160.45
  5. Step 5: Solve for x
    x = 112,160.45/278.81
  6. Step 6: Final answer
    x = 402.29

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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.