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Finding the Fourth Proportional to 234.34, 322.50 and 213.64

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Solution

The fourth proportional to 234.34, 322.50 and 213.64 is: 294.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.34 : 322.50 = 213.64 : x
  2. Step 2: Convert to fraction form
    234.34/322.50 = 213.64/x
  3. Step 3: Cross multiply
    234.34x = 322.50 × 213.64
  4. Step 4: Simplify right side
    234.34x = 68,898.90
  5. Step 5: Solve for x
    x = 68,898.90/234.34
  6. Step 6: Final answer
    x = 294.01

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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.