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Finding the Fourth Proportional to 276.47, 412.86 and 262.43

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Solution

The fourth proportional to 276.47, 412.86 and 262.43 is: 391.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.47 : 412.86 = 262.43 : x
  2. Step 2: Convert to fraction form
    276.47/412.86 = 262.43/x
  3. Step 3: Cross multiply
    276.47x = 412.86 × 262.43
  4. Step 4: Simplify right side
    276.47x = 108,345.54
  5. Step 5: Solve for x
    x = 108,345.54/276.47
  6. Step 6: Final answer
    x = 391.89

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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.