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Finding the Fourth Proportional to 234.29, 349.55 and 211.21

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Solution

The fourth proportional to 234.29, 349.55 and 211.21 is: 315.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.29 : 349.55 = 211.21 : x
  2. Step 2: Convert to fraction form
    234.29/349.55 = 211.21/x
  3. Step 3: Cross multiply
    234.29x = 349.55 × 211.21
  4. Step 4: Simplify right side
    234.29x = 73,827.32
  5. Step 5: Solve for x
    x = 73,827.32/234.29
  6. Step 6: Final answer
    x = 315.11

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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.