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Finding the Fourth Proportional to 233.42, 351.92 and 217.76

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Solution

The fourth proportional to 233.42, 351.92 and 217.76 is: 328.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.42 : 351.92 = 217.76 : x
  2. Step 2: Convert to fraction form
    233.42/351.92 = 217.76/x
  3. Step 3: Cross multiply
    233.42x = 351.92 × 217.76
  4. Step 4: Simplify right side
    233.42x = 76,634.10
  5. Step 5: Solve for x
    x = 76,634.10/233.42
  6. Step 6: Final answer
    x = 328.31

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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.