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Finding the Fourth Proportional to 234.55, 323.53 and 147.07

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Solution

The fourth proportional to 234.55, 323.53 and 147.07 is: 202.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.55 : 323.53 = 147.07 : x
  2. Step 2: Convert to fraction form
    234.55/323.53 = 147.07/x
  3. Step 3: Cross multiply
    234.55x = 323.53 × 147.07
  4. Step 4: Simplify right side
    234.55x = 47,581.56
  5. Step 5: Solve for x
    x = 47,581.56/234.55
  6. Step 6: Final answer
    x = 202.86

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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.