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Finding the Fourth Proportional to 233.38, 349.62 and 208.88

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Solution

The fourth proportional to 233.38, 349.62 and 208.88 is: 312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.38 : 349.62 = 208.88 : x
  2. Step 2: Convert to fraction form
    233.38/349.62 = 208.88/x
  3. Step 3: Cross multiply
    233.38x = 349.62 × 208.88
  4. Step 4: Simplify right side
    233.38x = 73,027.41
  5. Step 5: Solve for x
    x = 73,027.41/233.38
  6. Step 6: Final answer
    x = 312.91

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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.