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Finding the Fourth Proportional to 230.81, 346.07 and 93.92

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Solution

The fourth proportional to 230.81, 346.07 and 93.92 is: 140.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.81 : 346.07 = 93.92 : x
  2. Step 2: Convert to fraction form
    230.81/346.07 = 93.92/x
  3. Step 3: Cross multiply
    230.81x = 346.07 × 93.92
  4. Step 4: Simplify right side
    230.81x = 32,501.40
  5. Step 5: Solve for x
    x = 32,501.40/230.81
  6. Step 6: Final answer
    x = 140.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.