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Finding the Fourth Proportional to 300.12, 446.34 and 296.88

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Solution

The fourth proportional to 300.12, 446.34 and 296.88 is: 441.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.12 : 446.34 = 296.88 : x
  2. Step 2: Convert to fraction form
    300.12/446.34 = 296.88/x
  3. Step 3: Cross multiply
    300.12x = 446.34 × 296.88
  4. Step 4: Simplify right side
    300.12x = 132,509.42
  5. Step 5: Solve for x
    x = 132,509.42/300.12
  6. Step 6: Final answer
    x = 441.52

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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.