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Finding the Fourth Proportional to 311.04, 468.72 and 299.70

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Solution

The fourth proportional to 311.04, 468.72 and 299.70 is: 451.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.04 : 468.72 = 299.70 : x
  2. Step 2: Convert to fraction form
    311.04/468.72 = 299.70/x
  3. Step 3: Cross multiply
    311.04x = 468.72 × 299.70
  4. Step 4: Simplify right side
    311.04x = 140,475.38
  5. Step 5: Solve for x
    x = 140,475.38/311.04
  6. Step 6: Final answer
    x = 451.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.