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Finding the Fourth Proportional to 276.14, 411.26 and 258.62

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Solution

The fourth proportional to 276.14, 411.26 and 258.62 is: 385.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.14 : 411.26 = 258.62 : x
  2. Step 2: Convert to fraction form
    276.14/411.26 = 258.62/x
  3. Step 3: Cross multiply
    276.14x = 411.26 × 258.62
  4. Step 4: Simplify right side
    276.14x = 106,356.71
  5. Step 5: Solve for x
    x = 106,356.71/276.14
  6. Step 6: Final answer
    x = 385.15

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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.