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Finding the Fourth Proportional to 234.40, 323.54 and 188.10

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Solution

The fourth proportional to 234.40, 323.54 and 188.10 is: 259.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.40 : 323.54 = 188.10 : x
  2. Step 2: Convert to fraction form
    234.40/323.54 = 188.10/x
  3. Step 3: Cross multiply
    234.40x = 323.54 × 188.10
  4. Step 4: Simplify right side
    234.40x = 60,857.87
  5. Step 5: Solve for x
    x = 60,857.87/234.40
  6. Step 6: Final answer
    x = 259.63

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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.