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Finding the Fourth Proportional to 234.10, 323.08 and 145.58

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Solution

The fourth proportional to 234.10, 323.08 and 145.58 is: 200.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.10 : 323.08 = 145.58 : x
  2. Step 2: Convert to fraction form
    234.10/323.08 = 145.58/x
  3. Step 3: Cross multiply
    234.10x = 323.08 × 145.58
  4. Step 4: Simplify right side
    234.10x = 47,034.43
  5. Step 5: Solve for x
    x = 47,034.43/234.10
  6. Step 6: Final answer
    x = 200.92

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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.