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Finding the Fourth Proportional to 234.02, 350.67 and 147.14

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Solution

The fourth proportional to 234.02, 350.67 and 147.14 is: 220.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.02 : 350.67 = 147.14 : x
  2. Step 2: Convert to fraction form
    234.02/350.67 = 147.14/x
  3. Step 3: Cross multiply
    234.02x = 350.67 × 147.14
  4. Step 4: Simplify right side
    234.02x = 51,597.58
  5. Step 5: Solve for x
    x = 51,597.58/234.02
  6. Step 6: Final answer
    x = 220.48

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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.