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Finding the Fourth Proportional to 251.35, 346.81 and 211.93

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Solution

The fourth proportional to 251.35, 346.81 and 211.93 is: 292.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.35 : 346.81 = 211.93 : x
  2. Step 2: Convert to fraction form
    251.35/346.81 = 211.93/x
  3. Step 3: Cross multiply
    251.35x = 346.81 × 211.93
  4. Step 4: Simplify right side
    251.35x = 73,496.65
  5. Step 5: Solve for x
    x = 73,496.65/251.35
  6. Step 6: Final answer
    x = 292.41

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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.