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Finding the Fourth Proportional to 296.64, 408.78 and 276.96

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Solution

The fourth proportional to 296.64, 408.78 and 276.96 is: 381.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.64 : 408.78 = 276.96 : x
  2. Step 2: Convert to fraction form
    296.64/408.78 = 276.96/x
  3. Step 3: Cross multiply
    296.64x = 408.78 × 276.96
  4. Step 4: Simplify right side
    296.64x = 113,215.71
  5. Step 5: Solve for x
    x = 113,215.71/296.64
  6. Step 6: Final answer
    x = 381.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.