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Finding the Fourth Proportional to 232.39, 345.64 and 227.53

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Solution

The fourth proportional to 232.39, 345.64 and 227.53 is: 338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.39 : 345.64 = 227.53 : x
  2. Step 2: Convert to fraction form
    232.39/345.64 = 227.53/x
  3. Step 3: Cross multiply
    232.39x = 345.64 × 227.53
  4. Step 4: Simplify right side
    232.39x = 78,643.47
  5. Step 5: Solve for x
    x = 78,643.47/232.39
  6. Step 6: Final answer
    x = 338.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.