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Finding the Fourth Proportional to 233.72, 349.66 and 206.36

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Solution

The fourth proportional to 233.72, 349.66 and 206.36 is: 308.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.72 : 349.66 = 206.36 : x
  2. Step 2: Convert to fraction form
    233.72/349.66 = 206.36/x
  3. Step 3: Cross multiply
    233.72x = 349.66 × 206.36
  4. Step 4: Simplify right side
    233.72x = 72,155.84
  5. Step 5: Solve for x
    x = 72,155.84/233.72
  6. Step 6: Final answer
    x = 308.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.