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Finding the Fourth Proportional to 233.26, 349.78 and 96.20

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Solution

The fourth proportional to 233.26, 349.78 and 96.20 is: 144.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.26 : 349.78 = 96.20 : x
  2. Step 2: Convert to fraction form
    233.26/349.78 = 96.20/x
  3. Step 3: Cross multiply
    233.26x = 349.78 × 96.20
  4. Step 4: Simplify right side
    233.26x = 33,648.84
  5. Step 5: Solve for x
    x = 33,648.84/233.26
  6. Step 6: Final answer
    x = 144.25

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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.