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Finding the Fourth Proportional to 311.70, 465.21 and 306.57

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Solution

The fourth proportional to 311.70, 465.21 and 306.57 is: 457.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.70 : 465.21 = 306.57 : x
  2. Step 2: Convert to fraction form
    311.70/465.21 = 306.57/x
  3. Step 3: Cross multiply
    311.70x = 465.21 × 306.57
  4. Step 4: Simplify right side
    311.70x = 142,619.43
  5. Step 5: Solve for x
    x = 142,619.43/311.70
  6. Step 6: Final answer
    x = 457.55

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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.