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Finding the Fourth Proportional to 234.49, 353.12 and 188.93

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Solution

The fourth proportional to 234.49, 353.12 and 188.93 is: 284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.49 : 353.12 = 188.93 : x
  2. Step 2: Convert to fraction form
    234.49/353.12 = 188.93/x
  3. Step 3: Cross multiply
    234.49x = 353.12 × 188.93
  4. Step 4: Simplify right side
    234.49x = 66,714.96
  5. Step 5: Solve for x
    x = 66,714.96/234.49
  6. Step 6: Final answer
    x = 284.51

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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.