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Finding the Fourth Proportional to 296.32, 406.88 and 276.32

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Solution

The fourth proportional to 296.32, 406.88 and 276.32 is: 379.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.32 : 406.88 = 276.32 : x
  2. Step 2: Convert to fraction form
    296.32/406.88 = 276.32/x
  3. Step 3: Cross multiply
    296.32x = 406.88 × 276.32
  4. Step 4: Simplify right side
    296.32x = 112,429.08
  5. Step 5: Solve for x
    x = 112,429.08/296.32
  6. Step 6: Final answer
    x = 379.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.