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Finding the Fourth Proportional to 230.06, 346.37 and 158.39

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Solution

The fourth proportional to 230.06, 346.37 and 158.39 is: 238.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.06 : 346.37 = 158.39 : x
  2. Step 2: Convert to fraction form
    230.06/346.37 = 158.39/x
  3. Step 3: Cross multiply
    230.06x = 346.37 × 158.39
  4. Step 4: Simplify right side
    230.06x = 54,861.54
  5. Step 5: Solve for x
    x = 54,861.54/230.06
  6. Step 6: Final answer
    x = 238.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.