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Finding the Fourth Proportional to 311.07, 429.29 and 186.74

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Solution

The fourth proportional to 311.07, 429.29 and 186.74 is: 257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.07 : 429.29 = 186.74 : x
  2. Step 2: Convert to fraction form
    311.07/429.29 = 186.74/x
  3. Step 3: Cross multiply
    311.07x = 429.29 × 186.74
  4. Step 4: Simplify right side
    311.07x = 80,165.61
  5. Step 5: Solve for x
    x = 80,165.61/311.07
  6. Step 6: Final answer
    x = 257.71

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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.