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Finding the Fourth Proportional to 234.16, 349.34 and 213.20

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Solution

The fourth proportional to 234.16, 349.34 and 213.20 is: 318.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.16 : 349.34 = 213.20 : x
  2. Step 2: Convert to fraction form
    234.16/349.34 = 213.20/x
  3. Step 3: Cross multiply
    234.16x = 349.34 × 213.20
  4. Step 4: Simplify right side
    234.16x = 74,479.29
  5. Step 5: Solve for x
    x = 74,479.29/234.16
  6. Step 6: Final answer
    x = 318.07

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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.