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Finding the Fourth Proportional to 234.66, 350.27 and 217.74

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Solution

The fourth proportional to 234.66, 350.27 and 217.74 is: 325.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.66 : 350.27 = 217.74 : x
  2. Step 2: Convert to fraction form
    234.66/350.27 = 217.74/x
  3. Step 3: Cross multiply
    234.66x = 350.27 × 217.74
  4. Step 4: Simplify right side
    234.66x = 76,267.79
  5. Step 5: Solve for x
    x = 76,267.79/234.66
  6. Step 6: Final answer
    x = 325.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.