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Finding the Fourth Proportional to 296.04, 446.22 and 276.20

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Solution

The fourth proportional to 296.04, 446.22 and 276.20 is: 416.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.04 : 446.22 = 276.20 : x
  2. Step 2: Convert to fraction form
    296.04/446.22 = 276.20/x
  3. Step 3: Cross multiply
    296.04x = 446.22 × 276.20
  4. Step 4: Simplify right side
    296.04x = 123,245.96
  5. Step 5: Solve for x
    x = 123,245.96/296.04
  6. Step 6: Final answer
    x = 416.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.