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Finding the Fourth Proportional to 311.23, 429.56 and 186.89

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Solution

The fourth proportional to 311.23, 429.56 and 186.89 is: 257.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.23 : 429.56 = 186.89 : x
  2. Step 2: Convert to fraction form
    311.23/429.56 = 186.89/x
  3. Step 3: Cross multiply
    311.23x = 429.56 × 186.89
  4. Step 4: Simplify right side
    311.23x = 80,281.31
  5. Step 5: Solve for x
    x = 80,281.31/311.23
  6. Step 6: Final answer
    x = 257.95

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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.