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Finding the Fourth Proportional to 311.42, 463.06 and 298.46

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Solution

The fourth proportional to 311.42, 463.06 and 298.46 is: 443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.42 : 463.06 = 298.46 : x
  2. Step 2: Convert to fraction form
    311.42/463.06 = 298.46/x
  3. Step 3: Cross multiply
    311.42x = 463.06 × 298.46
  4. Step 4: Simplify right side
    311.42x = 138,204.89
  5. Step 5: Solve for x
    x = 138,204.89/311.42
  6. Step 6: Final answer
    x = 443.79

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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.