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Finding the Fourth Proportional to 311.03, 463.34 and 295.23

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Solution

The fourth proportional to 311.03, 463.34 and 295.23 is: 439.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.03 : 463.34 = 295.23 : x
  2. Step 2: Convert to fraction form
    311.03/463.34 = 295.23/x
  3. Step 3: Cross multiply
    311.03x = 463.34 × 295.23
  4. Step 4: Simplify right side
    311.03x = 136,791.87
  5. Step 5: Solve for x
    x = 136,791.87/311.03
  6. Step 6: Final answer
    x = 439.80

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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.