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Finding the Fourth Proportional to 378.37, 568.35 and 232.19

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Solution

The fourth proportional to 378.37, 568.35 and 232.19 is: 348.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.37 : 568.35 = 232.19 : x
  2. Step 2: Convert to fraction form
    378.37/568.35 = 232.19/x
  3. Step 3: Cross multiply
    378.37x = 568.35 × 232.19
  4. Step 4: Simplify right side
    378.37x = 131,964.48
  5. Step 5: Solve for x
    x = 131,964.48/378.37
  6. Step 6: Final answer
    x = 348.77

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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.