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Finding the Fourth Proportional to 234.21, 350.78 and 169.00

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Solution

The fourth proportional to 234.21, 350.78 and 169.00 is: 253.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.21 : 350.78 = 169.00 : x
  2. Step 2: Convert to fraction form
    234.21/350.78 = 169.00/x
  3. Step 3: Cross multiply
    234.21x = 350.78 × 169.00
  4. Step 4: Simplify right side
    234.21x = 59,283.02
  5. Step 5: Solve for x
    x = 59,283.02/234.21
  6. Step 6: Final answer
    x = 253.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.