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Finding the Fourth Proportional to 311.24, 463.19 and 301.11

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Solution

The fourth proportional to 311.24, 463.19 and 301.11 is: 448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.24 : 463.19 = 301.11 : x
  2. Step 2: Convert to fraction form
    311.24/463.19 = 301.11/x
  3. Step 3: Cross multiply
    311.24x = 463.19 × 301.11
  4. Step 4: Simplify right side
    311.24x = 139,469.64
  5. Step 5: Solve for x
    x = 139,469.64/311.24
  6. Step 6: Final answer
    x = 448.12

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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.