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Finding the Fourth Proportional to 378.72, 566.99 and 233.46

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Solution

The fourth proportional to 378.72, 566.99 and 233.46 is: 349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.72 : 566.99 = 233.46 : x
  2. Step 2: Convert to fraction form
    378.72/566.99 = 233.46/x
  3. Step 3: Cross multiply
    378.72x = 566.99 × 233.46
  4. Step 4: Simplify right side
    378.72x = 132,365.48
  5. Step 5: Solve for x
    x = 132,365.48/378.72
  6. Step 6: Final answer
    x = 349.51

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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.