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Finding the Fourth Proportional to 276.34, 411.12 and 259.93

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Solution

The fourth proportional to 276.34, 411.12 and 259.93 is: 386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.34 : 411.12 = 259.93 : x
  2. Step 2: Convert to fraction form
    276.34/411.12 = 259.93/x
  3. Step 3: Cross multiply
    276.34x = 411.12 × 259.93
  4. Step 4: Simplify right side
    276.34x = 106,863.09
  5. Step 5: Solve for x
    x = 106,863.09/276.34
  6. Step 6: Final answer
    x = 386.71

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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.