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Finding the Fourth Proportional to 251.70, 376.11 and 206.10

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Solution

The fourth proportional to 251.70, 376.11 and 206.10 is: 307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.70 : 376.11 = 206.10 : x
  2. Step 2: Convert to fraction form
    251.70/376.11 = 206.10/x
  3. Step 3: Cross multiply
    251.70x = 376.11 × 206.10
  4. Step 4: Simplify right side
    251.70x = 77,516.27
  5. Step 5: Solve for x
    x = 77,516.27/251.70
  6. Step 6: Final answer
    x = 307.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.