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Finding the Fourth Proportional to 311.02, 429.25 and 233.26

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Solution

The fourth proportional to 311.02, 429.25 and 233.26 is: 321.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.02 : 429.25 = 233.26 : x
  2. Step 2: Convert to fraction form
    311.02/429.25 = 233.26/x
  3. Step 3: Cross multiply
    311.02x = 429.25 × 233.26
  4. Step 4: Simplify right side
    311.02x = 100,126.86
  5. Step 5: Solve for x
    x = 100,126.86/311.02
  6. Step 6: Final answer
    x = 321.93

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