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Finding the Fourth Proportional to 276.34, 411.52 and 264.50

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Solution

The fourth proportional to 276.34, 411.52 and 264.50 is: 393.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.34 : 411.52 = 264.50 : x
  2. Step 2: Convert to fraction form
    276.34/411.52 = 264.50/x
  3. Step 3: Cross multiply
    276.34x = 411.52 × 264.50
  4. Step 4: Simplify right side
    276.34x = 108,847.04
  5. Step 5: Solve for x
    x = 108,847.04/276.34
  6. Step 6: Final answer
    x = 393.89

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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.