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Finding the Fourth Proportional to 251.07, 378.32 and 206.42

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Solution

The fourth proportional to 251.07, 378.32 and 206.42 is: 311.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.07 : 378.32 = 206.42 : x
  2. Step 2: Convert to fraction form
    251.07/378.32 = 206.42/x
  3. Step 3: Cross multiply
    251.07x = 378.32 × 206.42
  4. Step 4: Simplify right side
    251.07x = 78,094.39
  5. Step 5: Solve for x
    x = 78,094.39/251.07
  6. Step 6: Final answer
    x = 311.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.