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Finding the Fourth Proportional to 311.38, 429.57 and 187.01

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Solution

The fourth proportional to 311.38, 429.57 and 187.01 is: 257.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.38 : 429.57 = 187.01 : x
  2. Step 2: Convert to fraction form
    311.38/429.57 = 187.01/x
  3. Step 3: Cross multiply
    311.38x = 429.57 × 187.01
  4. Step 4: Simplify right side
    311.38x = 80,333.35
  5. Step 5: Solve for x
    x = 80,333.35/311.38
  6. Step 6: Final answer
    x = 257.99

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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.