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Finding the Fourth Proportional to 234.64, 353.94 and 207.88

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Solution

The fourth proportional to 234.64, 353.94 and 207.88 is: 313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.64 : 353.94 = 207.88 : x
  2. Step 2: Convert to fraction form
    234.64/353.94 = 207.88/x
  3. Step 3: Cross multiply
    234.64x = 353.94 × 207.88
  4. Step 4: Simplify right side
    234.64x = 73,577.05
  5. Step 5: Solve for x
    x = 73,577.05/234.64
  6. Step 6: Final answer
    x = 313.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.