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Finding the Fourth Proportional to 311.36, 463.46 and 306.74

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Solution

The fourth proportional to 311.36, 463.46 and 306.74 is: 456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.36 : 463.46 = 306.74 : x
  2. Step 2: Convert to fraction form
    311.36/463.46 = 306.74/x
  3. Step 3: Cross multiply
    311.36x = 463.46 × 306.74
  4. Step 4: Simplify right side
    311.36x = 142,161.72
  5. Step 5: Solve for x
    x = 142,161.72/311.36
  6. Step 6: Final answer
    x = 456.58

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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.