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Finding the Fourth Proportional to 232, 346 and 213.84

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Solution

The fourth proportional to 232, 346 and 213.84 is: 318.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    232 : 346 = 213.84 : x
  2. Step 2: Convert to fraction form
    232/346 = 213.84/x
  3. Step 3: Cross multiply
    232x = 346 × 213.84
  4. Step 4: Simplify right side
    232x = 73,988.64
  5. Step 5: Solve for x
    x = 73,988.64/232
  6. Step 6: Final answer
    x = 318.92

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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.