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Finding the Fourth Proportional to 234.63, 323.81 and 147.28

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Solution

The fourth proportional to 234.63, 323.81 and 147.28 is: 203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.63 : 323.81 = 147.28 : x
  2. Step 2: Convert to fraction form
    234.63/323.81 = 147.28/x
  3. Step 3: Cross multiply
    234.63x = 323.81 × 147.28
  4. Step 4: Simplify right side
    234.63x = 47,690.74
  5. Step 5: Solve for x
    x = 47,690.74/234.63
  6. Step 6: Final answer
    x = 203.26

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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.