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Finding the Fourth Proportional to 251.76, 346.60 and 217.04

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Solution

The fourth proportional to 251.76, 346.60 and 217.04 is: 298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.76 : 346.60 = 217.04 : x
  2. Step 2: Convert to fraction form
    251.76/346.60 = 217.04/x
  3. Step 3: Cross multiply
    251.76x = 346.60 × 217.04
  4. Step 4: Simplify right side
    251.76x = 75,226.06
  5. Step 5: Solve for x
    x = 75,226.06/251.76
  6. Step 6: Final answer
    x = 298.80

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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.