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Finding the Fourth Proportional to 298.10, 446.76 and 267.08

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Solution

The fourth proportional to 298.10, 446.76 and 267.08 is: 400.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.10 : 446.76 = 267.08 : x
  2. Step 2: Convert to fraction form
    298.10/446.76 = 267.08/x
  3. Step 3: Cross multiply
    298.10x = 446.76 × 267.08
  4. Step 4: Simplify right side
    298.10x = 119,318.43
  5. Step 5: Solve for x
    x = 119,318.43/298.10
  6. Step 6: Final answer
    x = 400.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.