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Finding the Fourth Proportional to 311.82, 465.20 and 299.58

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Solution

The fourth proportional to 311.82, 465.20 and 299.58 is: 446.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.82 : 465.20 = 299.58 : x
  2. Step 2: Convert to fraction form
    311.82/465.20 = 299.58/x
  3. Step 3: Cross multiply
    311.82x = 465.20 × 299.58
  4. Step 4: Simplify right side
    311.82x = 139,363.12
  5. Step 5: Solve for x
    x = 139,363.12/311.82
  6. Step 6: Final answer
    x = 446.93

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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.