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Finding the Fourth Proportional to 233.20, 349.53 and 130.33

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Solution

The fourth proportional to 233.20, 349.53 and 130.33 is: 195.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.20 : 349.53 = 130.33 : x
  2. Step 2: Convert to fraction form
    233.20/349.53 = 130.33/x
  3. Step 3: Cross multiply
    233.20x = 349.53 × 130.33
  4. Step 4: Simplify right side
    233.20x = 45,554.24
  5. Step 5: Solve for x
    x = 45,554.24/233.20
  6. Step 6: Final answer
    x = 195.34

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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.