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Finding the Fourth Proportional to 233.46, 351.90 and 206.82

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Solution

The fourth proportional to 233.46, 351.90 and 206.82 is: 311.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.46 : 351.90 = 206.82 : x
  2. Step 2: Convert to fraction form
    233.46/351.90 = 206.82/x
  3. Step 3: Cross multiply
    233.46x = 351.90 × 206.82
  4. Step 4: Simplify right side
    233.46x = 72,779.96
  5. Step 5: Solve for x
    x = 72,779.96/233.46
  6. Step 6: Final answer
    x = 311.74

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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.