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Finding the Fourth Proportional to 232.79, 346.77 and 218.84

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Solution

The fourth proportional to 232.79, 346.77 and 218.84 is: 325.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.79 : 346.77 = 218.84 : x
  2. Step 2: Convert to fraction form
    232.79/346.77 = 218.84/x
  3. Step 3: Cross multiply
    232.79x = 346.77 × 218.84
  4. Step 4: Simplify right side
    232.79x = 75,885.41
  5. Step 5: Solve for x
    x = 75,885.41/232.79
  6. Step 6: Final answer
    x = 325.99

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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.