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Finding the Fourth Proportional to 251.37, 346.91 and 209.86

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Solution

The fourth proportional to 251.37, 346.91 and 209.86 is: 289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.37 : 346.91 = 209.86 : x
  2. Step 2: Convert to fraction form
    251.37/346.91 = 209.86/x
  3. Step 3: Cross multiply
    251.37x = 346.91 × 209.86
  4. Step 4: Simplify right side
    251.37x = 72,803.49
  5. Step 5: Solve for x
    x = 72,803.49/251.37
  6. Step 6: Final answer
    x = 289.62

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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.