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Finding the Fourth Proportional to 251.78, 346.70 and 212.50

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Solution

The fourth proportional to 251.78, 346.70 and 212.50 is: 292.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.78 : 346.70 = 212.50 : x
  2. Step 2: Convert to fraction form
    251.78/346.70 = 212.50/x
  3. Step 3: Cross multiply
    251.78x = 346.70 × 212.50
  4. Step 4: Simplify right side
    251.78x = 73,673.75
  5. Step 5: Solve for x
    x = 73,673.75/251.78
  6. Step 6: Final answer
    x = 292.61

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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.