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Finding the Fourth Proportional to 311.15, 429.41 and 233.39

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Solution

The fourth proportional to 311.15, 429.41 and 233.39 is: 322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.15 : 429.41 = 233.39 : x
  2. Step 2: Convert to fraction form
    311.15/429.41 = 233.39/x
  3. Step 3: Cross multiply
    311.15x = 429.41 × 233.39
  4. Step 4: Simplify right side
    311.15x = 100,218.44
  5. Step 5: Solve for x
    x = 100,218.44/311.15
  6. Step 6: Final answer
    x = 322.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.