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Finding the Fourth Proportional to 230.86, 346.25 and 68.51

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Solution

The fourth proportional to 230.86, 346.25 and 68.51 is: 102.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.86 : 346.25 = 68.51 : x
  2. Step 2: Convert to fraction form
    230.86/346.25 = 68.51/x
  3. Step 3: Cross multiply
    230.86x = 346.25 × 68.51
  4. Step 4: Simplify right side
    230.86x = 23,719.51
  5. Step 5: Solve for x
    x = 23,719.51/230.86
  6. Step 6: Final answer
    x = 102.74

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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.