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Finding the Fourth Proportional to 311.92, 465.23 and 306.45

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Solution

The fourth proportional to 311.92, 465.23 and 306.45 is: 457.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.92 : 465.23 = 306.45 : x
  2. Step 2: Convert to fraction form
    311.92/465.23 = 306.45/x
  3. Step 3: Cross multiply
    311.92x = 465.23 × 306.45
  4. Step 4: Simplify right side
    311.92x = 142,568.78
  5. Step 5: Solve for x
    x = 142,568.78/311.92
  6. Step 6: Final answer
    x = 457.07

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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.